Hard copies. I've loved the idea of being a video game collector. Opening up the case for the first time, admiring the disc/cartridge, & the manual is a great feeling for me. This is even better if it's my favorite game.
I hate digital copies because I never get that special feeling, I never feel like I actually "own" it (hey also take up a lot of space). Really the only time I get digital versions is if the game was strictly digital, or if it legitimately cannot be bought anymore.
The unfortunate downside of being a hard copy person is that if you're too late on some games you've really wanted to play, depending on how popular it is, you're screwed. Can never find a decent price for Pokemon Black because of this, lel.
Suppose with physical copies, I also wouldn't have too worry about my games corrupting, or never being able to get them again. To this day, I've still never got to play that Scott Pilgrim game.