I watched both episodes last night, and I was VERY impressed.
I like how we're getting a lot of Bruce outside of the mask. I don't think that's happened since TAS. I also enjoy how Batman isn't the Deus Ex Machina he's often portrayed as, where he can beat every bad guy even though he has no superpowers. This Batman can't do that, so instead, he uses his deduction skills to solve the crimes, thus emphasizing that he's the world's greatest detective, which also gets ignored a lot in adaptation.
Much like how Batman: BatB showcased the lesser-known heroes in the DC universe, I also enjoy that they're showing off the lesser-known villains in the Batman rogues gallery. I'm sure we'll get Joker and Riddler and Two Face all later on, but for now, it's nice to see someone new.
I feel like this is very much in the style of Young Justice. Where Young Justice felt like a CW show at times, Beware the Batman definitely had some mystery and police procedural elements to it, so this is probably the closest we'll get to a Gotham Central adaptation.
The only thing I didn't really care for was the animation. I don't mind CG, but it looked kind of cheap, definitely inferior to other shows like Green Lantern and Ninja Turtles.
Still, I'm definitely gonna keep watching. I was not expecting to enjoy this nearly as much as I did, so I was pleasantly surprised. This is essentially the show The Batman SHOULD have been, if it hadn't gotten stuck pushing new toys every week, and then trying to backpedal to appease the TAS fanboys. So it's definitely odd to me that people have been saying The Batman is better than this show, when The Batman WISHED it could be this show.