OK you degenerates:
BBC Radio 6 Music: Kim Gordon (sitting in for Iggy Pop), April 03, 2020
Captured with get_iplayer set at "best", so I guess this 96kbps m4a is as good as one can grab it from the site (feel free to correct me). As I type, the BBC page says there are "27 days left to listen" directly from it, so this is for those of you who want to keep it once it has been taken out of the AlGoreWebs.
Music played (this list is on the m4a's comment field and on the info txt file):
The Fall - "Gut Of The Quantifier"
Nina Simone - "Suzanne"
Alice Coltrane - "Journey In Satchidananda [feat. Pharoah Sanders]"
The Stooges - "Ann"
DNA - "Blonde Red Head"
J Mascis - "See You At The Movies"
Heron Oblivion - "Your Hollows"
Missy Elliott - "Work It"
PJ Harvey - "Shame"
Gold Dime - "Hindsight"
Television - "Venus"
Talk Normal - "In A Strange Land"
Neil Young & Crazy Horse - "Cortez The Killer"
Brigitte Fontaine - "Le Goudron"
Eleanor Friedberger - "I Won't Fall Apart On You Tonight"
Linda Ronstadt - "Different Drum"
Stina Nordenstam - "Purple Rain"
Aimee Mann - "Save Me"
Nas - "N.Y. State Of Mind"
Nico - "It Was A Pleasure Then"
Karen Dalton - "Something On Your Mind"
My Bloody Valentine - "When You Sleep"
Islaja - "Laivat Saapuu"
Mazzy Star - "Fade Into You"
Abbey Lincoln - "Straight Ahead"
Cardi B - "Bodak Yellow"
Charli XCX - "Shake It [feat. Big Freedia, Brooke Candy, Pabllo Vittar & cupcakKe]"
Patty Waters - "You Thrill Me"