I noticed that searching for playstation move games on Amazon gives out a pretty sparse list, and it's cluttered with accessories too. I'm going to try to keep a list of games here with links either to the product page when available or pages on other sites if not, mostly for people interested in the Move but not sure what's available. If anyone knows how to make a clickable link that's not a product page, let me know!
Since some games can be used with a Navigation Controller, I put a little tag on the ones that can. I also put a note on the ones that you can play while dual-wielding Move controllers. I put compatible because none of them are required. You can always use a Dualshock/Sixaxis instead of a NaviCon, and the two Dual-Move games can be played with one (by itself for Sports Champions or with a Dualshock for The Fight). Many thanks to jerryn for the idea!
Most of the info was taken from the wiki for the list of Playstation Move games. If you want to see that one instead, the link is below. I won't be offended, honest :P Thanks to James for the idea.
Available before launch (Move support will be patched in to some games that are already released):
Heavy Rain *NaviCon Compatible
MAG *NaviCon Compatible
Little League World Series 2010
Resident Evil 5: Gold Edition *note, only the gold edition will be patched *NaviCon Compatible
Tiger Woods PGA Tour 11
Toy Story 3 The Video Game