Right I think what one of those is an xbox exclusive, Shenmue II. You hardly need a gaming rig to run Pirates, the sims, Deus Ex or even HL2. The main problem with this poll as opposed to the N64 one, which I thought was good, is that the last few generations of consoles have become so cross-platform that it's actually irrelevant what you have.
A few more are exclusive than that: Jet Set Radio Future, Shenmue II (not counting the PAL or Japanese versions), House of the Dead III, and Conker: Live and Reloaded. But I see your point. I should add, though, that a) in the years the games you cited came out regular PCs were less apt to be able to play them, and b) the Xbox had a nice cross-section of PC/PS2 ports, post-DC Sega titles (I'm
huge Shenmue fan), and exclusives - however numbered. Moreover, it was well-balanced in terms of genres: if you wanted a fighting game, you could get Soul Calibur II or DOA3; if you wanted an RPG, you could get Jade Empire or Morrowind; if you wanted a simulation you could get The Sims 2 or Pirates!, etc.
And yeah, consoles are getting progressively more samey (excepting Nintendo's, of course) for a number of reasons, which renders this thread somewhat obsolete. It's like the PS3 vs. Xbox 360 debate: who really cares? Assassin's Creed, BioShock, Orange Box, GTA IV, Final Fantasy XIII, and Call of Duty 4 are all available/will be available on both consoles. Insofar as I can tell, the only real basis to choose if you'd prefer a PS3 or an Xbox 360 - other than the Blu-Ray schtick - is whether you'd prefer Fable II and Mass Effect or Metal Gear Solid 4.