July 2nd - The Clearing
Robert Redford and Willem Dafoe.  The trailer's got me intrigued on this one.

July 9th - Anchorman
Yes.  I'm Ron Burgundy?

July 16th - I, Robot
At the moment, I haven't seen too much about this movie other than that Will Smith is in it, but it looks like the best one scheduled for release this week.

July 23rd - The Bourne Supremacy
I really liked The Bourne Identity, so I'm hoping that this is a strong sequel.  Catwoman comes out this week as well, and I just want to note how stupid that movie looks to me.  Any comic book fans out there know if the Catwoman character has a deep history in comic books, or is she just a peripheral character?

July 30th - The Village
I've loved everyone of M. Night Shyamalan's movies, and this looks to be no exception.  Very psyched.  However, this film has some heavy competition in my eyes with The Manchurian Candidate and Garden State coming out the same weekend.  Manchurian stars Denzel Washington, whom I'm becoming a bigger fan of lately, especially after Man On Fire.  Garden State, which Jeff keeps talking about, was written and directed by and stars Zach Braff (of Scrubs fame).

UPDATE: Added links as requested.