My personal favourite of these series would be Danganronpa. I like the increasing complexity and variety of the gameplay, generally find the deductive processes logical, and particularly enjoy the Monokumas; while they're ridiculous, they're generally enjoyably so.
I like the concept of Ace Attorney games, but far too often the game's tortuous logic drives me mad - having evidence you know proves something but not being able to use it, or sections where the game literally says "you're going to have to make an unsubstantiated guess now!!!!", really ruins the effect. I have played most of them anyway, although I frequently end up using a FAQ towards the end as the deductive leaps become ever more bizarre.
I haven't played enough of Zero Escape to make a fair judgement, only a bit of 999's iOS version to get one ending.
I can't stand Steins;Gate, or any of my limited experience with the Science Adventure-esque stories either as games or in other formats. Everything gets wrapped up in total otaku bullshit, with stereotypical braindead blushing girls with unrealistically huge breasts or main characters I want to throttle due to their obnoxiousness. All that wrapped up in endless overly-verbose text crawl and virtually no gameplay... ugh. I have tried repeatedly to like Steins;Gate because everyone tells me it gets really good later on, but it just doesn't seem to be worth it.
I don't really like visual novels anyway, though. I'd rather do without the visuals and just have a book to read at my own pace (which is much faster than whatever is on offer here). I feel like they don't respect my time enough - the ones with proper gameplay, rather than just the occasional pathway branch selection, are much more palatable, but even then it needs to be frequent.