I'll post some of my current favorite bands that I've been listening to a lot lately.
Pygmy Lush - The offspring from the punk band called Pg. 99. Led Zeppelin fans might dig this band. They play a rather depressive style of Folk music.
Maudlin of the Well - They're similar to Opeth in the whole ambient/jazzy/metal sense. Very talented musicians.
Pg. 99 - I'll never get tired of this band. They're sort of a "like it or don't like it" deal as the vocals can easily turn people off. They are unique blend of Grindcore/Screamo/Punk. Really eerie/ambient stuff...
The Stone Roses - Older band, but overlooked. They pretty much influenced the bands that would start the whole Brit-Rock trend in the 90's. They play a throwback style to the 60's. Brit-Pop, with some Psychedelic influences.
At the Drive-In - Cedric and Omar's earlier group (The Mars Volta), with more of a punk feel. I personally prefer these guys over the latter incarnation.
Meshuggah - For the Metal fans out there. They play a complex, but heavy style of Extreme Metal. Drummers should also check out the bass work on this song.
Mickey Newbury - An extremely overlooked Country/Folk song writer. Some of the most spine tingling moments I've ever heard come from this man.
I'll post some more later...