I was secretly waiting and praying for this thread all along.
I got into stoner rock via QOTSA, which led me to Kyuss (which is effectively the definitive stoner rock band, seeing as how they're the greatest the genre has ever produced and in some ways were the blueprint for every "stoner rock" band that followed), and onward into all sorts of drug-induced music.
Stoner rock, as far as I can see, contains a great deal of variation. There's the wandering desert rock of Yawning Man and Kyuss's slower tracks, the riff-and-solo sludge metal of early Sabbath and Orange Goblin, the super-heavy, super-distorted monoliths of Electric Wizard and Sleep (I won't even get into SUNN0))), which gave me the single most intense sonic experience of my life at a show once), and the spacier stuff, like Pink Floyd and Hawkwind.
Many of the best stoner rock bands don't even sound like any of these. Dead Meadow, Isis, Masters of Reality, Hypnos 69, Bardo Pond ... each has a VERY distinctive and unique sound and while they're all very obviously drug-influenced heavy rock, it's really impossible to compare them on any other level. It makes it sorta weird to say you enjoy the genre when there are so many things that it could encompass.
Because it might help, I'll post a list of bands I believe to make excellent stoner rock.
Kyuss - Really incredible stuff, just really well-done bass-heavy riff rock with ... oh, just go get an album already.
QOTSA - The closest stonerrock has come to the mainstream ... check out the self-titled debut for the stoner-rock-iest stuff they did.
Masters of Reality - They do everything from Cream-y blues rock to experimental weirdness to acoustic folk, but there's always a joint and a good ear for music involved.
Hypnos 69 - Riff-rock in space with lots of drugs and jazz.
Dead Meadow - Otherworldly guitars doing very heavy and/or psychedelic things. Sounds like a wizard's dream. (Currently my personal favorite band, definitely check them out).
Sleep - Black Sabbath taken to places it should not go. Insanely heavy and slow stuff.
Bardo Pond - Weird and heavy soundscapes mixed with strange vocals and acoustic guitars.
Wolfmother - Everything the 70's did right with rock, except a year old.
For the record, I do a lot of drugs. But I listened to mostly this sort of music before I did any.