Suggest one obsure album we all should hear

Bring on the Night, Sting

Some excellent bands (from a 2016 post):
https://forum.audiogon.com/discussions/obscure-bands/post?postid=1346137#1346137

Particulars (since you removed the one album rule):
Bardo Pond / Dilate
Swans / Glowing Man
Tanakh / Ardent Fevers 
Lambchop / How I quit smoking
moe. / Wormwood
Alex Chilton / High Priest 
Blitzen Trapper / Fur
Mark Lanegan / Has God seen my shadow
Nico & the Faction / Fata Morgana
Brian Eno / My squelchy life
Spiritualized / Ladies & gentlemen we are floating in space
Tortoise / TNT
Thurston Moore / Demolished thoughts
Acid Mothers Temple / In search of the lost divine arc
Stone Jack Jones / Love & torture
Low / Drums & guns
Eels / Electro-shock therapy
Larkin Grimm / Parplar
Magnetic Fields / 69
MV & EE / Space homestead
Jenny Lewis / Acid tongue
Forest for the trees
Calexico / Spoke
Mono / Under the pipal tree
Mazzy Star / She hangs brightly 
Devendra Banhart / Mala
Castanets / Cathedral
Sparklehorse / It's a wonderful life
APSE / Climb up
Elizabeth Viagic / Stand with the stillness of the day
Industrial Tepee / What divine engine
Pere Ubu / Pennsylvania 
Beth Orton / Trailer park
Orso / Long time by
Tunng / Good arrows
Grails / Black tar prophesies 

There are many more (obscure music is my forte)... But that should keep you busy for a while :-)

The Mysterious Flying Orchestra 

A 1977 album from Bob Thiele

https://somehowjazz.com/mysterious-flying-orchestra/

The Bodeans, only one album that I used to own. They opened for very first U2 Joshua Tree tour I got to go to, WOW! Was that a GREAT concert!!! They, I believe, are Irish as well, REM type of sound, they were EXCELLENT!! Cannot find their CD album I bought, but they were VERY GOOD!! Also, I bet you guys haven’t heard of the Coor’s. Another Irish band, three sisters, one brother. The drummer, Caroline, was a SMOKE’N HOTTIE!!! And was an EXCELLENT drummer!!! They did an album with covers sung with: Bono, from U2, Mick Fleetwood, on the drums with Caroline (TOO COOL!), and lastly, Ronnie Woods of The Rolling Stones, AWESOME album, A+ SONICS!!! Some of the Bono songs were acoustic. AWESOME album! Pop-rock band. Still love them. Sharon Corr is SMOKE’N HOT as well!! Model quality, stunning woman! So talented!! Hell, all of them were! Caroline, the sexy baby sister, played: drums, piano, and the bodran, an Irish drum, One one of their albums, Sharon and Caroline do an acoustic duet, “No Frontiers”, sounds like two angels singing, no joke! Check them out on YouTube! Especially the MTV “Unplugged” album, and the live album. BRAVO to whoever mic’ed and mixed their live/Unplugged albums! AWESOME acoustics/sonics!!