The Dandy Warhols
Jane's Addiction
Black Rebel Motorcycle Club
Dirty Vegas
Tito & Tarantula
Primal Scream
The links I've put here are mainly to well maintained official websites, but I have also included some of the fansites I like. I often find that while official music sites are flashy and regularly updated, with active user forums, fansites can offer  lots more information and history.
The Official List.
Moby
And now for the slightly less official.
Oakdome - Great Jane's Addiction resource
1% - The Jane's Addiction Resource
Xiola - Jane's Addiction, a fave of mine
Slabtown - Dandy Warhols. Lots of info.
Primal Scream - 100% unofficial website. Really good one if you like Primal..
Webadelica - More Primal Scream..
Groove Armada
Leftfield