Pela - Anytown Graffiti

I also recommend their EP, All in Time.  The song "Episodes," from the EP, was in the beginning of an episode of Scrubs and I liked it so much that I tracked it down.

I would describe them as sort of in the Interpol family, but more melodic and also more rockin'. 
Here is their myspace page: http://www.myspace.com/pela

Also, most of the things I recommend are available on emusic for those who subscribe. 

I highly recommend these guys.

Tokyo Police Club - A Lesson in Crime

One of my students works at the campus coffee shop at Unnamed Midwestern Private University, and he was playing these guys one day while he was working there and I was holding some sort of extra office hour there.  I mentioned that this was a good choice

The Lord Henry - Zoo Palace

This album just gets better every time I listen to it.  Of course, I discovered this band about a week after I was in Austin for work... fabulous timing.

STAR - Devastator

Run, don't walk!  Scott Cortez's other projects, Astrobrite and Loveliescrushing, are worth checking out as well if you like weird shoegaze.  This album is much poppier than those- which are more derivative of the Japanese shoegaze school - but solidly les

Bottomless Pit - Hammer of the Gods

Some Joy Division/Interpol-esque moments, although something about it hinted the Pixies to me as well.  Who says I'm a sucker for bass lines?