hylianordonlink, you're in luck. The Xbox has two of the best games of its generation, and given what an Xbox must cost now, they really are worth the asking price.
Panzer Dragoon Orta:
[video=youtube;hZIDQDt_lik]http://www.youtube.com/watch?v=hZIDQDt_lik[/video]
Featuring 10 wildly creative, difficult levels of varying environments, it is easily one of the best corridor shooters ever made. If you've ever played a Starfox game that wasn't Adventures, you should feel right at home, but in my opinion it's graced with far better design, and a far more haunting soundtrack and story, than even my favorite Starfox game, Starfox 64.
I should warn you that it is very hard. Even Easy difficulty is probably only slightly easier than normal difficulty in most games, and I've never been able to finish it on normal difficulty (that said, I'm not a very good gamer). But it is also a rewarding experience that will consistently amaze you if you give it a chance. It forces you to play creatively in all the best ways possible. While it is as hardcore as games can get, you don't have to be a "hardcore" gamer to enjoy it. As a bonus, it comes with lots of lore about the intriguing world and even the original Saturn release of Panzer Dragoon packed-in. The original Panzer Dragoon is no Starfox, but it is still very good, so getting it free is a nice bonus.
I highly recommend this game.
Shenmue II:
[video=youtube;h0Izd2f6k2I]http://www.youtube.com/watch?v=h0Izd2f6k2I[/video]
(Trailer is probably for the Dreamcast version)
Dreamcast owners were robbed of this title in the early 2000s, but the Xbox version more than suffices, with slightly touched-up graphics and top-notch presentation. While its graphics may not be as technically impressive as many Xbox games, the visual style is loaded with color, and the environments range from alive and richly populated to creepy. It's always imaginative. The packed-in Shenmue Digest (not recommended) and Shenmue: The Movie (more recommend) fill you in on the backstory, even though it's better to play the original if you have a Dreamcast.
Disclaimer: this game has absolutely terrible English voice acting. Since it's story-driven, that's a problem. I can't make any excuses for that, except to say that the gameplay, presentation, and story are otherwise so good that you can forget how bad the voice acting is. Give it a chance, play it through, and you'll be more than satisfied with this unique, lengthy world, constructed with more detail than you'd find in most games.
As for price, I can't help you much. Both of these games were mass-produced and undersold; they shouldn't cost much. They'd be difficult to find in most game stores, though depending on where you live, there may be some used game shops around. Again, they're both good enough that I highly recommend you take the time to buy them. Your best bet is probably ebay (
link)or Amazon (
link).