According to Chosic, The Timbre Project sounds like:

Bash & Pop
Bob Schneider
The Bogmen
Buffalo Tom
Camper Van Beethoven
Cracker
Dinosaur Jr
Fountains of Wayne
Frank Black
Guster
Hold Steady
Ike Reilly
Judybats
Matthew Sweet
Mike Doughty
Old 97s
Paul Westerberg
Poi Dog Pondering
Promise Ring
The Samples
Sloan
Son Volt
Superdrag
The Verve Pipe
Wilco
World Party

Check out Chosic for yourself: CHOSIC