I don’t necessarily mean broken as in literally buggy (though there are lots of fun physics bugs), so much as broken in the sense of counter-intuitive and poorly designed. The fact that in order to make a character that is strong in the stats you want in Oblivion, you have to create a character with different primary stats is silly and poorly thought out. Even Morrowind had its problems, as much as I disliked Oblivion’s move to a skill based hit system, Morrowind had the counter-intuitive notion that just because you hit something doesn’t mean you actually hit it (since that was calculated by character stats and RNG).
I suppose, though I’d argue Arkham Asylum Batman is much closer to a smooshing together of all the Batman iterations throughout the eras. It’s mostly TAS, yes, but it has very much Dark Knight, and by extension very, very much The Killing Joke and older Batman. The Riddler is probably closer to Jim Carrey’s performance of him than anything else etc.
Either way, it seems like Batman keeps dying off and then randomly coming back, Batman & Robin kills it, TAS brings it back, then it fizzles, BOOM Batman Begins.