El Michels Affair — Yeti Season [2021, soul / funk / world music / Indian and Turkish]
(elmichelsaffair.bandcamp.com)
Just now wanted to add, this comment lists some Arabic-style blues/rock bands, I'm yet to give them a proper listen but they might fit here too.
I might make a dump of assorted ‘world music’ sometime: e.g. Tabla Beat Science made Indian/Pakistani-style music with jazzy fusion. YĪN YĪN and Khruangbin are known for Asian influences in instrumental psychedelic rock. Natacha Atlas did some downtempoey music with Egyptian elements.