I believe they have two studio albums - How to save a life, and The Fray.
before they also had a number of EPs with other songs but they weren't official albums.

They do have 2 studio albums, How to Save a Life and The Fray. And first they Movement EP, then Reason EP, then came How to Save a Life, then Acoustic from Nashville, and Live from The Electric Factory, You Found Me EP, then The Fray, B-Sides, and there is supposed to be another coming out on September 28, 2009. Hope i helped!

I believe they have put out three albums/cds so far, but don't quote me on that ;)

I'm not completely sure but these are the albums I know:
Movement EP (their first one, you can't buy it)
Reason EP
Over my Head (cable car) EP
How to save a life
How to save a life EP
Look after you EP
Live in the electric factory bootleg n.1
Acoustic in Nashville bootleg n.2
The Fray
Live at the 9:30 club

I think the 10th Nov. they're releasing a deluxe edition of the FRay!! As you asked for the CD's they have I didn't put the singles they've released like Heartless and All at Once. It looks as if they've released lots of CD's but the Ep's often have the same songs as the albums or acoustics and live performances. I think that the albums where you can find new songs are "Reason", "How to save a life" and "The Fray".

I got this info from Wikipedia and itunes Spain and USA