On the Internet Movie Database (IMDb.com), you can search information such as "locations." Using their powersearch mode, excluding TV shows, etc., and using USA as the origin country (since you asked for Hollywood movies), and only searching 2000 through 2010, I get this list:
All the Queen's Men (2001) 3.4/10 (1314 votes)
...aka All the Queen's Men (2001) (Austria)
...aka Männer Ihrer Majestät, Die (2001) (Germany)
Archduke and Herbert Hinkel, The (2008)
Ballad of Bering Strait, The (2003) 7.6/10 (23 votes)
Bluefield (2006) 4.9/10 (95 votes)
Breach (2007) 7.2/10 (23310 votes)
Errand of Angels, The (2008) 8.0/10 (41 votes)
Fay Wray: A Life (2008)
Finding Eleazar (2004)
Hot Flash (2008)
I Cannot Understand You (2004)
League of Extraordinary Gentlemen, The (2003) 5.4/10 (41357 votes)
...aka LXG (2003) (USA: promotional abbreviation)
...aka League, The (2003) (USA: promotional title)
...aka Liga der außergewöhnlichen Gentlemen, Die (2003) (Germany)
...aka Liga výjimecných (2003) (Czech Republic)
Mars in Aries (2009)
Night Trotsky Came to Dinner, The (2006)
Rape of Europa, The (2006) 7.8/10 (329 votes)
Semmelweis (2001) 8.1/10 (8 votes)
Simon Chance: Spy Today, Run Tomorrow (2009)
Space Specks (2003) 6.2/10 (8 votes)
Superpower (2008)
Tales of a Western Drifter (2009)
Watermarks (2004) 7.0/10 (173 votes)
...aka Hakoah Lischot (2004) (Israel: Hebrew title)
Weizenbaum. Rebel at Work. (2007) 6.8/10 (13 votes)