Well, most if not all of this is mentioned, but I’ll try to add a bit of substance in hopes it might help.
First off, if you are a QOTSA fan, particularly of the guitar work, what you’re hearing is by and large Josh Homme. Homme is considered a pioneer of what is known as “Stoner Metal” and “Desert Metal” via his first band, Kyuss, which was originally known as Sons of Kyuss. Kyuss’ most well known line up comprised of Homme on guitar, Nick Oliveri on bass (who was the other founding member of QOTSA but was kicked out by Homme, however Oliveri continued on with his other band Mondo Generator), John Garcia on vocals and Brant Bjork on drums (though there was a different bassist both before and after Oliveri, and I believe one other drummer besides Bjork).
After forming QOTSA, Homme began to produce a number of albums known as “The Desert Sessions” featuring other musicians from the Palm Desert scene including PJ Harvey, Jeordie White (of Marilyn Manson), Nick Oliveri and Brant Bjork from Kyuss, Mark Lanegan (Screaming Trees, the Gutter Twins, Twilight Singers), John McBain (Monster Magnet), Ben Sheppard (Soundgarden), Josh Freese (A Perfect Circle, Nine Inch Nails, The Vandals, Devo, Guns N Roses, Weezer), and many others. Homme also formed Eagles of Death Metal, which is more of a rockabilly band than a stoner metal band, and features Homme on drums, not vocals or guitars. More recently as someone mentioned, Homme formed Them Crooked Vultures with Dave Grohl (Nirvana, Foo Fighters), and John Paul Jones (Led Zeppelin).
Oliveri is in addition to Mondo Generator, a solo artist, and a member of the Dwarves, and has worked with Auf Der Maur (Hole’s guitarist’s side project), Mark Lanegan and others.
Garcia has been in 3 other bands…Slo Burn, Unida and Hermano, and has done a lot of session work with other bands, perhaps the best of which was with the Canadian trio Danko Jones on their last 2 albums.
Brant Bjork has worked with Fu Manchu and as a solo artist.
If you follow the bands just the members of Kyuss have played with, you end up finding all sorts of connections…the Melvins, Nine Inch Nails, Nirvana, Monster Magnet, Mike Patton (Faith No More, Fantomas, Mr. Bungle, Tomohawk, Peeping Tom). And if that doesn’t give you enough to work with, check out this list of stoner rock groups.