Having being obsessed with QOTSA for half a year or so, I moved too some of Josh Homme’s other project: Them Crooked Vultures, and Desert Sessions.
Other artists I would recommend are Wolfmother, Death From Above 1979, and Royal Blood.
If you want something thats a bit more rythmicly and melodically playful, I would highly recommend most albums by the Psychedelic Porn Crumpets. Their two most recent releases I haven’t enjoyed so much, but the rest is golden. King Gizzard & The Lizard Wizard is good of you find the right albums. Personally I really like Nonagon Infinity, PetroDragonic Apocalypse, as well as their microtonal series of albums: Flying Microtonal Banana, KG, and LW.
Por qué no los dos?