Personally, I don't like video games - I'd rather do other things with my time. However, my husband and sons love them, and play constantly.
DH started out on the map type war games, then progressed to the old DOS based map type war games on our first PC, then to the more virtual-reality type games that are more current now for modern PC's. Then we bought an X-Box. The boys like it better than he does - he plays about 50% PC and 50% XB0x games. His main complaint about console gaming is that it's primarily shoot-em-up type gaming with very little actual strategy involved.
He was hoping that the X-Box, and now the 360, being more like a computer than other console systems, would have more of the types of games he enjoys on the PC, and to some extent, that seems to be the case (ie: Fable, and some of the other role-playing games with extensive 3-D maps), but there just aren't enough games out there that require much more than a happy trigger finger, unfortunately.
And for the record, even though I don't like gaming, I like the X-Box because we put a bunch of pictures and music in with Music Mixer, and DH made slide shows out of them. It's fun to be able to sit on the couch with Grandma and watch videos of the kids, rather than everyone gathering 'round the little computer screen to watch!
I keep hoping for one convergent, all-inclusive system that will do everything - games, photo-editing, music, slide shows, dvd's, tv, web-surfing, etc. from the big comfy couch. Gateway had the idea a few years ago with their PCTV, but it was just too $$$$$. Now microsoft has the 360 and the media center. Hopefully the idea of convergence will take off.