Three Word Bands...
 

I`ll start

Stone temple Pilots rock:

Manic Street Preachers

Nine Inch Nails

Sting

shut the fuk up

eh?

you mean "Shut fuck up"

Simple Plan Sucks
1 2 3

Swill's a Lesbian

The Mars Volta

Jimmy Eat World

Fountains of Wayne

Green Day 75

boards of canada...
archers of loaf...
guided by voices...
The Led Zeppelin...

. Letters to Cleo
. The Pointer Sisters
. The Jackson 5
. Dead Can Dance
. The Irish Rovers
. P J Harvey
. Brian Setzer Orchestra
. U B 40
. The Grateful Dead
. Stevie Ray Vaghan
. The Velvet Underground
. Alice in Chains
. The Violent Femmes
. Lords of Acid
. Harry Connick Jr.
. Simon and Garfunkel
. Creedence Clearwater Revival
. The Four Tops
. The Beach Boys

"The" was only included because it IS the part of the bands name. Actual 3 word names... do they fit?

Couple more off the top of my head:

. B B King
. Corrosion of Conformity
. Type O Negative
. The Digable Planets
. Pet Shop Boys
. Flock of Seaguls