Active- Foo Figthers
Inactive- All time favorite would have to be the Beatles. Got hundreds but they would have to take first
Active - Def Leppard
Inactive - Nirvana

They've both inspired me in one way or another
I'll mix it up a bit with a few lesser knowns:

Active-Trigger Hippy ("Supergroup" in Nashville, waiting to see what they do next)
Inactive-American Minor (recorded one album, got messed around with their management then disappeared)