i play every game with the intention of finishing it or 'destroying it' as somebody else put it. if it's a really long game, i'll play it off and on and come back to it weeks later. like tales of symphonia and most final fantasy games take me forever to finish. sometimes, even shorter games may take me a while, like halfway through killer 7, i stopped to whoop some ass in megaman x collection. i beat the first 3 x-games and then went back to finish killer 7.
there's only a few games i can think of that i never finished:
1)breath of fire 3, cus i got stuck at the end for weeks, and got pissed and traded it in.
2)chrono trigger back when it first came out on snes; although i just picked up the psx version and plan on running through it after i'm done whoopin kingdom heart's ass.
3)resident evil: code veronica: in my opinion, the hardest resident evil game, i tried playing through it twice, but always run out of bullets while playing as chris, and they never give you more.
i think that's it, or that's all i can remember.