Glintshake — post-punk / indie-rock, with some jazz on the albums. Iirc earlier albums are noisier, but I prefer ones starting with the incomprehensibly-titled ‘Oeshch Margziu’. (Also the guitarist Evgeny Gorbunov is the main dude in Inturist.)
Andre Antunes with Nooran Sisters — ‘If System of a Down were from India’ — he has similar mashups over various other Indian and Pakistani singers. And e.g. ‘Māori Haka in NZ Parliament goes metal’.
Therion's ‘Les Fleurs du Mal’ album and the ‘Les Épaves’ EP consist of covers of sixties-seventies French pop.
Angine de Poitrine are currently very popular, they're from Québec and play microtonal math-rock. If you peruse the music@lemmy.world community, you've most certainly seen them.
Gromyka — hilarious indie-pop playing on some Soviet-era imagery.
Fedul Zhadny — 90s-style punkish rock and synth-punk, he's in NOM since 2014.
I've recently discovered The Original Noiseketeers, a Dutch band that has only a few tracks on YouTube from various years. The music is acid/psychedelic rock and dub.
Peter Cat Recording Co. — Indian jazzy indie-rock. This album is mellow, other ones might be more interesting for you, but iirc they don't quite reach into punk territory.
By the way, check out Sun City Girls. They're from the US, but they incorporated Arabic motifs in their music, which is often noisy ruckus, particularly on the earlier records.