When it comes to videogames, I've always preferred 'crazy' over 'realistic'. I'm not bothered at all, for example, by the premise of Homefront where North Korea has basically turned into the Superman of Asia, beating the shit out of everyone to the point that it has enough power to invade and occupy the United States. It's incredible how Homefront's started this bizarre debate about how powerful/competent North Korea can be in 13 years, between people who think that North Korea's crazy enough to pull it off (or hiding a lot more assets than we thought) and the people who find the concept so absurd that they can't see themselves enjoying the game no matter what. Then there are the people who think it's ripping off 'Red Dawn', despite the fact it's written by the very same author, because the basic premise sounds less plausible than Russia doing the occupying.
 
I don't care about how 'realistic' a story in a game is; as long as the madness stays consistent and has its own special brand of logic, I'll be fine with whatever crazy situation you throw me into. Zombies are invading my lawn and my only weapons are plants? Sounds awesome! I get to go to a camp full of psychic kids and jump into people's minds to cure their psychoses? Sign me up!  Russia falls under the control of Ultranationalists and invades the USA without using a single nuke? Sounds interesting to me.
 
Let's say there's a game where every time you put one egg and one slice of cheese into a basket they both combine to create a salmon. Does that make any sense? Of course not, but if it becomes crucial to the plot or somehow becomes an important part of the game mechanics, it's a sign of 'good crazy'. If every time you do it you always get salmon, that's good and consistent crazy. It would only be ruined for me if, say, the recipe changes for no reason whatsoever, like if cheese + egg suddenly means 'lawyer'.
 
Of course, this doesn't mean I hate stories written with the intention of staying 100% plausible. Splinter Cell, for example, tried its hardest to convince you that one very well-trained secret agent can sabotage a well-defended base, by making the player character very fragile to gunfire and being given gadgets that could believably work in real life. I like Splinter Cell games, for all the interesting mostly-plausible scenarios.

I know a lot of folks really don't like these ridiculous circumstances/settings some games have, since my suspension of disbelief can take a lot of lunacy without ruining my enjoyment of the game, but I'd also like to know if any of you guys have a preference for the crazy as well. What sort of games would you put up as a good example of crazy awesome plotlines/premises?