Arkham's Asylum, City, and Origins are worth your time. As always, the Riddler collectables in all are just too bloody much even if they're tied to artwork and 3D models.
Asylum has great atmosphere, narrative, the free-flow combat. Well deserved status as a great superhero game adaption. But, the boss fights and their fixed camera angles are total anus.
City's more open-world environment hurts the narrative pacing and quest design, but the improvements to Batman's gameplay abilities and free-flow combat are welcome. Plus, the boss fights are much better. Also, playing as the Catwoman and Robins felt great in terms of their unique combat abilities + movement flow etc.
Origins is lacking some polish, but the characters designs, narratives, and boss fights make up for that. Fuck publishers wanting to squeeze in tack-on multiplayer that's been shut down, however.
As for Knight, FUCK THAT: Batmobile overuse was just one of multiple bullshits it pulled (dealing with spoiler (click to show/hide)
Deathstroke
Gotham's layout didn't even feel like Gotham, not to mention the drastically reduced interior segments. Rocksteady took heaps of open-world design cues from Ubisoft (e.g. destroying bases/towers, unlocking island access) and somehow made them worse. Finally, the full ending tied to 100% Riddler collectables was the icing on a "go fuck yourself" cake.
Don't forget, the follow-up side narratives to plot points in City like Azreal and Hush were hot garbo :maf