Banjo-Kazooie: Nuts & Bolts, Halo Reach, Sonic and the Secret Rings, Killer7.
I haven't played Deadly Premonition myself, but I just finished watching through Two Best Friend's playthrough of it, and it seems to have been pretty decent to me. Very technically bad, and it does look like a lot of the stuff as far as the gameplay goes would be annoying, but it looks like it could still be an enjoyable game. I'd like something where you're put in more of a countryside sandbox with a small town or settlements(hell, something like the countryside in GTA: San Andreas, even), and with more realistic stuff like having to buy gas, eat and sleep and stuff. If not for the mediocre horror stuff, I think it would be fun to just go around investigating stuff and seeing what all the townsfolk do. It's almost like a more expanded version of Majora's Mask what with all the characters having their own schedules. Of course, it would need far better production value. Even though a lot of the story stuff seemed a bit campy, I generally enjoyed it.
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About suffering they were never wrong,
The Old Masters: how well they understood
Its human position; how it takes place
While someone else is eating or opening a window or
just walking dully along...