My games collection is a mixture of the odd shooter or racing game, with a lot more platformers, puzzle games, themed games, random quirky ones etc
I don't have a collection any more, really, traded most in. What I kept was Prince of Persia collection, Spider-Man, Uncharted series, Super Mario games, Silent Hill, Mass Effect series. But basically it's a mix of everything, including action games, adventure games, open world, shooters, puzzle games, platformers, strategy and indie game.
Yeah, same. I've mostly switched over to using my Wii or PSP to emulate my classic systems, but I can't quite bring myself to get rid of my older systems or games.