I don't particularly care either way, but sometimes I feel like it would be fun to have the option to reset the achievements and trophies I've earned, just for the thrill of unlocking them again. If I like a game enough to play it more than once or twice, I’d be down to unlock everything again. That was actually something I did in the PS2 days. I deliberately deleted save files off of my memory card even though I had plenty of space, just for the thrill.

Of course, this probably won't work well with games that have online components or even just not having the complete game in the first place unless you pay extra, and if you do pay extra, there’s no “unlocking thrill” anyway.