Formed in Italy in 2003, Outopsya is an extravaganza blend of avant-prog, psyche-metal, and industrial electronic.

https://outopsya.bandcamp.com/

While Finish band Utopiainisti's style can range from mostly instrumental, energetic jazz-rock / eclectic prog with occasional leaps towards Balkan gypsy music, tango, avant-garde, or latin, this "Brutopianisti" is math-infused speed metal.

https://utopianisti.bandcamp.com/album/brutopianisti

The Physics House Band is a math rock group from Brighton, UK, formed in 2010.

https://tphb.bandcamp.com/album/mercury-fountain

Pneu is a math rock group from Tours, France, inspired by the post-hardcore scene which gives them a heavy sound.

https://pneu.bandcamp.com/

German band from the Munich area defining their own style as progressive, funky Math Jazz Metal.

This is a cover of a Weather Report 'hit'. With Nguyen Le on guitar

Kōenji Hyakkei is a Japanese zeuhl band, originated from Tokyo, including members of Ruins and Bondage Fruit. They are known for their extreme complexity, mind-boggling rhythm patterns and high expressiveness.

https://koenjihyakkei.bandcamp.com/album/nivraym

Spanish instrumental progressive rock and fusion band formed in 2003. They started roughly in the vein of avant-prog King Crimson, and moved on mixing contemporary, classical and jazz elements, in the "Rock in Opposition" field of Henry Cow, Present and Univers Zero.

https://octoberxart.bandcamp.com/album/permafrost-official-cd

With a mix of soft progressive and avantgarde atmospheres, Pierrot Lunaire is at the fringe of RPI, maybe drifting closer to ProgFolk or Rock In Opposition. Brought to my attention in the chat, since they feature a female singer.

"Antique Seeking Nuns" were founded in Oxfordshire, UK in 2001 and disbanded in 2009. Their music is influenced by Frank Zappa, Hatfield And The North as well as Aphex Twin, Tortoise, and The Flaming Lips.

https://antiqueseekingnuns.bandcamp.com/album/careful-its-tepid

"We go out at night and consume ourselves in fire"

"Веспер" is a Russian psychedelic/space rock band formed in early 2003 in Astrakhan, South Russia.

https://vespero.bandcamp.com/music

French progressive rock collaboration, featuring Cyrille Verdeaux (of Clearlight), and Ivan Coaquette, who joined forces to compose the soundtrack for the film Visa de Censure No. X by French actor Pierre Clementi.Their sound is strongly influenced by Gong.

The music was excerpted from recordings made during a 4-day drug-soaked jam session.

https://papir.bandcamp.com/

Norwegian trumpeter andcomposer Nils Petter Molvær is a pivotal voice in Nordic jazz since the late 1990s. Molvær's work transcends genre, drawing from ambient, electronica, dub, post-rock, and traditional jazz improvisation. He was born in 1960 in Sula, Norway.

Terje Rypdal was born in Oslo, Norway in 1947, the son of a composer and orchestra leader. He studied classical piano and trumpet as a child, and then taught himself to play guitar as he entered his teens. Miroslav Vitous is a Czech jazz bassist born in 1947, cofounder of Weather Report in 1970. Jack DeJohnette (1942-2025) was an American jazz drummer, pianist and composer.

New wave, art rock, synth pop band, formed in London, England in early 1974, led by vocalist David Sylvian. Eminently unfashionable in the UK punk era.