I think the first Resident Evil (the original, not just the GameCube version) is probably better than the second game, actually. 2 adds a lot of great improvements (enemies having less weird invincibility frames, lickers, nicer button mappings, faster text, significantly better presentation) but after replaying both games back to back just now, I think 2 ends up being dragged down by its decreased difficulty, and the huge amount of ammo it showers you in. The Chris Arrange mode playthrough I did really illustrated just how brightly RE1 shines when you have to make the most out of all your supplies (something that the classic Resident Evils don't really promote, I don't think they're as difficult as they could be), and although RE2 is probably a more "good-feeling" game in general, it loses that.
RE1 does end on a wet fart no matter what though. The laboratory is kind of a weird, sedate way to end the game, and it's a bit disappointing that the remake didn't do much to jazz it up.