I'm only translating the special cards--the Rider cards are pretty straightforward stats-wise.
Series 2 (the middle of the page)
[HIDE]2-046
Mirror World
Fight in a Parallel Universe
Your Rider Power becomes the same as your opponent's. (It might decrease as well as increase.)
2-047
Kamen Rider Yuuki
Many Years of Longing
Steals 25% of your opponent's HP. (Will not exceed your team maximum.)
2-048
Kamen Rider Kuuga (Ultimate form)
Threatening Warrior
+250 to Attack & Defense for 2 rounds.
2-049
Tatsulot
Tension Fortissimo
For 1 round either Attack, Defense, or Attack Points increase.
2-050
Black Satan Troopers
-300 to opponent's Defense for 2 rounds.
2-051
Kamen Rider BLACK
-400 to opponent's Attack for 2 rounds.
2-052
Kuuga Gouram
DCDA (Decade Assault)
Kamen Rider Decade appears and attacks with DCDA.
2-053
Ryuki Dragredder
DCDD (Decade Dragon)
Kamen Rider Decade appears and attacks with DCDD.[/HIDE]
[HIDE]3-046
Kivat Bat II
Magical Emperor Power Injection
Reduces your Defense, next round raises your Attack.
3-047
G3 System
Sending Permission to Shoot
If your lead Rider is holding a weapon, his Attack is raised.
3-048
Destron Trooper
Evil Army
-300 to opponent's Attack for 2 rounds.
3-049
Autovajin Battle Mode
Buster Wheel
Autovajin appears and attacks.
3-050
Ongekigen Retsurai
Ongekizan ・ Thunder & Lightning Severe Earthquake
-20 to opponent's Attack Points for 2 rounds.
3-051
Kuuga Gouram
DCDA (Decade Assault)
Kamen Rider Decade appears and attacks with DCDA.
3-052
Ryuki Dragredder
DCDD (Decade Dragon)
Kamen Rider Decade appears and attacks with DCDD.
3-053
Blade Blade
DCDE (Decade Edge)
Kamen Rider Decade appears and attacks with DCDE.[/HIDE]
Series 4 (Starts on Bottom)
[HIDE]4-060
Kiva-la
Bite~
Negates the effects of your opponent's Element for 3 rounds.
4-061
Kamen Rider Punch Hopper
Dissonance
Makes it more difficult for your opponent to accumulate Rider Power for 2 rounds.
4-062
Kamen Rider Kick Hopper
Ran Out of Tears Long Ago
For one round: +300 to Attack, but both your and your opponent's Defense -300.
4-063
GelShocker Troopers
Law of GelShocker
-500 to opponent's Finisher for 2 rounds.
4-064
Kamen Rider Decade
Final Attack Ride Decade
Kamen Rider Decade appears, Final Attack Rides, and attacks.
4-065
Kuuga Gouram
DCDA (Decade Assault)
Kamen Rider Decade appears and attacks with DCDA.
4-067
Ryuki Dragredder
DCDD (Decade Dragon)
Kamen Rider Decade appears and attacks with DCDD.
4-068
Faiz Blaster
DCDP (Decade Photon)
Kamen Rider Decade appears and attacks with DCDP.
4-069
Blade Blade
DCDE (Decade Edge)
Kamen Rider Decade appears and attacks with DCDE.
4-070
Hibiki Ongekiko
DCDW (Decade Wave)
Kamen Rider Decade appears and attacks with DCDW.
4-071
Zecter Kabuto
DCDM (Decade Meteor)
Kamen Rider Decade appears and attacks with DCDM.
4-072
Momotaros Imagin
DCDL (Decade Liner)
Kamen Rider Decade appears and attacks with DCDL.
4-073
Kiva Arrow
DCDF (Decade Fang)
Kamen Rider Decade appears and attacks with DCDF.[/HIDE]
Series 5 (near the bottom)
[HIDE]5-053
Another Agito
It's OK if I'm the Only Agito
Opponent can't perform substitution defense or chasing attack.
5-054
Sidebasshar
Variable Vehicle
+10 to Attack Points when your lead Rider has Power as his Element.
5-055
Kamen Rider Leangle
Evil Intent
+600 to Finisher, but you can't stop the slots yourself.
5-056
Disc Animals
Onshikigami
For 2 rounds, +600 to Finisher, -300 to Defense.
5-057
Kamen Rider X
Mercury Circuit
+300 to Defense & Finisher for 2 rounds.
5-058
Denpa Ningen Tackle
Ultra Cyclone
Next round, -25% to team HP and -30% to opponent's Rider Power.
5-059
GOD Spy & King Dark
Secret Spy
+300 to team HP, -500 to finisher.
5-060
10 Faced Demon Gorgos
Absolutely No Mistakes Permitted
Starting next round, +600 to Attack. If you fail, -600 to Defense.
5-061
Faiz Blaster
DCDP (Decade Photon)
Kamen Rider Decade appears and attacks with DCDP.
5-062
Kuuga Gouram
DCDA (Decade Assault)
Kamen Rider Decade appears and attacks with DCDP.
5-063
Kiva Arrow
DCDF (Decade Fang)
Kamen Rider Decade appears and attacks with DCDF.[/HIDE]
[HIDE]6-055
Kamen Rider Femme
Wings of Revenge
Next round only, your team HP decreases, but your Attack raises by the same amount.
6-056
Kamen Rider Delta
Battle Instinct Equipment Activated
For 1 round, +100 to HP, -100 to HP.
6-057
Memory Gadget
Stag Phone
When your lead Rider is Kamen Rider Double, +200 to Attack and Defense.
6-058
Teddy Imagin
Faithful Steward
+400 to Defense for 3 rounds.
6-059
Dogga (Monster form)
Strong Arm Monster
For 2 rounds, +400 to Attack and -20 to Attack Points.
6-060
Bassha (Monster form)
Sniper in the Darkness
Improves probability of violent attacks.
6-061
Kamen Rider Zanki
No Spells - Art of the Returning Spirit
1 in 3 chance your team HP recovers by 500. If not, -400 to Defense and no effect on HP.
6-062
Kamen Rider Scissors
Victim of Corruption
+500 to your and opponent's Attack for 1 round.
6-063
Were-Mole
I'm Leaving This to You!
Increases probability of substitution defense & chasing attack.
6-064
Ryuki Dragredder
DCDD (Decade Dragon)
Kamen Rider Decade appears and attacks with DCDD.
6-065
Faiz Blaster
DCDP (Decade Photon)
Kamen Rider Decade appears and attacks with DCDP.
6-066
Blade Blade
DCDE (Decade Edge)
Kamen Rider Decade appears and attacks with DCDE.[/HIDE]
[HIDE]7-055
Castle Dran
Wrath of the Dragon Castle
Castle Dran appears and attacks. -300 to opponent's Defense for 2 rounds.
7-056
Igadevil
I Myself am the Ultimate Masterpiece
To the team that attacks first this round, next round their Rider Power is halved.
7-057
Memory Gadget
Bat Shot
If your lead Rider is Kamen Rider Double, +200 to Attack and probability of violent attack increases.
7-058
Memory Gadget
Spider Shock
If your lead Rider is Kamen Rider Double, +200 to Defense and probability of substitution defense and chasing attack increases.
7-059
Machine Hardboilder
Hurricane Bike
+20 to Attack Points for 1 round. If your lead Rider is Kamen Rider Double, Rider Power becomes easier to accumulate.
7-060
Biorider
Prince of Anger
Makes it impossible for opponent to have a violent attack for next 2 rounds (excepting Final Round).
7-061
Kamen Rider Abyss
Kamen Rider Trial System
1 in 3 chance of +800 to Attack, if it fails then -400 to Defense.
7-062
Crisis Fort
Hell's Invincible Fortress
For 2 rounds, -200 to opponent's Defense & Finisher, and +200 to your Defense and -20 to your Attack Points.
7-063
Chop
Vanguard of the Crisis Empire
From the first attack of this round, and starting next round, your opponent's Rider Power is more difficult to accumulate. If you fail, your Rider Power becomes more difficult to accumulate.
7-064
Kamen Rider Decade Complete form
Final Dimension Kick
Kamen Rider Decade Complete form appears in Jumbo Formation and attacks with Final Kamen Attack Form Ride.
7-065
Agito Tornader
DCDT (Decade Tornado)
Kamen Rider Decade appears and attacks with DCDT.
7-066
Momotaros Imagin
DCDL (Decade Liner)
Kamen Rider Decade appears and attacks with DCDL.[/HIDE]
[HIDE]8-055
Autovajin Battle Mode
Battle Mode Activated
Autovajin appears and attacks. Next round, -20 to opponent's Attack Points.
8-056
Castle Dran
Wrath of the Dragon Castle
Castle Dran appears and attacks. -300 to opponent's Defense for 2 rounds.
8-057
Crane Orphnoch
Corrupted Angel
+500 to Attack and Finisher for 2 rounds. -300 to opponent's Defense. When the next round starts, your opponent's Rider Power goes to zero.
8-058
Horse Orphnoch
Fantastic Dilemma
-200 to your and opponent's Defense. If your opponent is Kamen Rider Faiz, -300 more to his Defense.
8-059
Kamen Rider Shuki
Ongekisou - Earth-Shaking
-400 to opponent's Defense for 2 rounds.
8-060
ZECTroopers
ZECT's Organizational Capability
+400 to Defense, losing 100 every round afterward.
8-061
Kamen Rider Saga
Announcing the King's Decree
Nullifies the effect of opponent's Element for 2 rounds. If opponent is Kamen Rider Kiva, also nullifies his Rider Skill.
8-062
Marshal Armor
Hatred for Riderman
For one round, +30 to opponent's Attack Points. When the next round starts, -30% to opponent's Rider Power.
8-063
Combatroid
Fear of Badan
Starting next round, +300 to team HP to whichever team attacks first this round. If you fail, -30 to your Attack Points.
8-064
Tigeroid
Another Perfect Cyborg
+300 to Attack. If opponent is Kamen Rider ZX, +200 to Defense.
8-065
Zecter Kabuto
DCDM (Decade Meteor)
Kamen Rider Decade appears and attacks with DCDM.
8-066
Hibiki Ongekiko
DCDW (Decade Wave)
Kamen Rider Decade appears and attacks with DCDW.[/HIDE]
Series 9 (near bottom)
Thanks
[HIDE]9-055
Denliner Gouka
Time-Traveling Train
Denliner Gouka appears and attacks. -300 to opponent's Finisher for 2 rounds.
9-056
Autovajin Battle Mode
Battle Mode Activated
Autovajin appears and attacks. -20 to Attack Points for the following round.
9-057
Castle Dran
Wrath of the Dragon Castle
Castle Dran appears and attacks. -300 to opponent's Defense for 2 rounds.
9-058
Exceed Gills
Becoming a Perfect ＡＧＩＴΩ
When the round starts, -100 to team HP, then +200 HP once, and Attack doubles.
9-059
Jet Sliger
Superior Machine Activated
+20 to Attack Points for 1 round. If your lead Rider is Kamen Rider Faiz or Kamen Rider Kaixa, the effects of his Element are doubled.
9-060
Kamen Rider Mini-Den-O
I Might Be Small, But I'm Here!
When lead Rider is Kamen Rider Den-O, +15 to Rider Power and it becomes easier to accumulate. -20 to Attack Points.
9-061
Silvra
Goodbye!
The next round after your opponent uses his Finisher, +80 to Rider Power, +50 to Attack Points.
9-062
Oni Battleship
Oni Trump Card
Probability of violent attack goes up a lot, for one round only.
9-063
Apollo Geist
A Very Troublesome Man
More damage from violent attack.
9-064
GanGan G
I Say I'm the Best Ally of Justice in Japan
For 2 rounds, -400 to your and opponent's Attack. Probability of opponent's chasing attacks goes down.
9-065
NeoShocker Great Leader
Oxygen Destruction Bomb
For 2 rounds, your and opponent's HP goes down by 10%.
9-066
Dogma Fighter & Jin Fighter
Invaders from the B26 Dark Star Cluster
To the team that attacks first this round, +500 to Finisher starting next round. If you fail -30% to your Rider Power.[/HIDE]
http://www.ganbaride.com/cardlist/card.php?search=true&category=68014
[HIDE]10-053
Nega Denliner
Evil Destruction Express
Nega Denliner appears and attacks. -200 to opponent's HP.
10-054
Denliner Gouka
Time-Traveling Train
Denliner Gouka appears and attacks. -300 to opponent's Finisher for 2 rounds.
10-055
Nasca Dopant
It's the Birth of a Prideful Groom
+200 to Attack and Defense for 2 rounds. If opponent is Kamen Rider Double, +200 to Finisher
10-056
Taboo Dopant
Heartless Light Shot
Next round only, both teams' Rider Guts become less probable.
10-057
Clay Doll Dopant
Immortal Porcelain Doll
Next round only, Rider Guts becomes more probable.
10-058
T-Rex Dopant
...I'll Eat You Up!
Next round only, opponent's Defense -200. If opponent's Element is speed, another -300.
10-059
Magma Dopant
+400 to Defense. Rider Power becomes difficult to accumulate.
10-060
Kamen Rider Kiva-la
Empress Advent
Next round only, +300 to Defense. When Kamen Rider Decade is your lead Rider, +300 to his Finisher. When Kamen Rider Decade is your opponent, -300 to his Finisher.
10-061
Kamen Rider L'Arc
Mighty Ray
+150 to your Attack, -150 to opponent's Attack.
10-062
Proto-IXA (Yuri Aso)
Lady Warrior of Love & Revenge
For one round only, +300 to Attack, +300 to Defense. Starting next round, -300 to Finisher.
10-063
Colonel Zol
Mad Wolf's Plan
Next round only, +400 to your and opponent's Attack, +40 to your and opponent's Attack Points. Neither of you can stop your own slots.
10-064
Akajusha
Secret Teachings of Mikkyou Gedon
+300 to either Attack, Defense, or Finisher.[/HIDE]
http://www.ganbaride.com/cardlist/card.php?search=true&category=68015
[HIDE]11-063
Denliner Gouka
Time-Traveling Train
Denliner Gouka appears and attacks. -300 to opponent's Finisher for 2 rounds.
11-064
Nega Denliner
Evil Extermination Express
Nega Denliner appears and attacks. -200 to opponent's HP.
11-065
Kamen Rider Double Cyclone-Joker
Triple Extreme
Kamen Rider Double (Cyclone-Joker) and Kamen Rider Decade appear and attack with Triple Extreme.
11-066
Gaia Memories
A Pandora's Box Which Calls for Catastrophe
For 2 rounds, -20 to opponent's Attack Points. If your Rider is Kamen Rider Double, +150 to Attack.
11-067
Terror Dopant
Absolute Terror
Damage caused by both your and opponent's violent attacks goes up greatly.
11-068
Smilodon Dopant
Quick-Witted Predator
Next round only, if your Element is speed, +20 Attack Points. If your opponent's Element is speed, +20 Attack Points for him.
11-069
Kamen Rider Glaive
Mighty Gravity
+600 to Finisher for 2 rounds. Nullifies effects of your Element.
11-070
Kamen Rider G Den-O
Artificial Imagin Shall Control This World
If your opponent attacks first this round, he won't be able to stop the slots next round.
11-071
Bee Woman
Lady Kaijin, A Slash of Terror
-250 to opponent's Attack and Finisher.
11-072
Great Leader
Value of Betrayal
One round only, -100 to opponent's Defense. Steals 80 each of opponent's HP.
11-073
Ant Commandos
For the Greatness of NeoShocker
To the team that attacks first this round, starting next round, -300 to their opponent's Finisher. If you fail, -200 HP.
11-074
Battle Hopper
Only War Buddy
One round only, +20 Attack Points. When your lead Rider is Kamen Rider Black, +250 Attack.[/HIDE]
So it looks like you can get multiple cards from playing. I'm assuming this is so you can trade with friends? And if so it looks like connecting DS to DS is only done over the wireless LAN, but then what are the two different types of wireless connection choices?
あいてをまつ = wait for an opponent
あいてをさがす = search for an opponent
