They're shows that exist to sell toys to children, that air during a Sunday morning kids block that AFAIK otherwise consists entirely of anime. Is it much of a surprise that they end up making them somewhat cartoonish?
The obvious one to pick on is Go-Onger, which actually had animated Engines in it (which I liked, but the "serious business" crowd hate). I'd also say that a lot of that show is about the idea that Go-On Red (and sometimes the others if it's a focus episode) is meant to be quite stereotypically hotblooded, and so it's when the bad guys piss him off that he starts bringing the pain (IIRC somebody once mentioned in a thread that the show writes the word Engine using the characters for "fiery spirits", so it's even there in the title). Kyoryuger is doing something pretty similar with it's bravery concept. I can also understand that people would point at the Kyoryugers' dinosaur partners and the likes of Candelira and Luckyero and say it's taking a lot from anime. Lynxara's also mentioned her theory that Goseiger (specifically Gosei Red) takes some influence from magical girl shows (which I've never seen so I wouldn't really know). And it's worth mentioning that supposedly a lot of the basic Sentai (as in the sub-genre not just this franchise) formula was brought together by the original Gatchaman.
As for Rider, I'm not so sure at what to point at specifically. I mean Double has a partially animated intro, but the show doesn't really remind me of a specific cartoon or anime. I haven't seen that many anime yet though, so maybe I just haven't got to some really famous one that inspired Double. Obviously Gaim and Fourze have head writers that are more famous for their anime work, but then again Fourze doesn't scream "Gurren Lagann" to me in the same way that Kill la Kill does. On the other hand, I was on youtube the other day watching one of those '80s cartoon intros' videos, and couldn't help but notice that The Centurions really seems like modern Rider :sweat: