Been playing around with this for a bit. Interesting finds -

"No Lyrics conditioning" group (gibberish rather than using existing lyrics):

Johhny Cash: https://jukebox.openai.com/?song=802881316
Avril Lavigne: https://jukebox.openai.com/?song=802878058
Belle & Sebastian: https://jukebox.openai.com/?song=799892506
Ariana Grande: https://jukebox.openai.com/?song=799892191
Grandaddy: https://jukebox.openai.com/?song=799440070
Hans Zimmer: https://jukebox.openai.com/?song=799444969
Stars: https://jukebox.openai.com/?song=799440616
Fall Out Boy (which rocks harder than the band ever has): https://jukebox.openai.com/?song=799435516
Editors: https://jukebox.openai.com/?song=799429156
The Cranberries: https://jukebox.openai.com/?song=799442605
Soulja Boy: https://jukebox.openai.com/?song=802874971
Alan Jackson: https://jukebox.openai.com/?song=799541827
Willie Nelson: https://jukebox.openai.com/?song=802873615
Hillsong Worship: https://jukebox.openai.com/?song=799893571
Bright Eyes (is Elvis Depressedly just a Bright Eyes AI?): https://jukebox.openai.com/?song=799543111
Kendrick: https://jukebox.openai.com/?song=799545829
John Williams: https://jukebox.openai.com/?song=802877968
Rise Against: https://jukebox.openai.com/?song=799432087
The second half of this John Denver instrumental: https://jukebox.openai.com/?song=802881223

"Re-renditions" group (using an artist's own lyrics to make a new rendition of a song):

Ariel Pink ("Driving To The Grave"): https://jukebox.openai.com/?song=787984798
Beach House ("Holy Dances"): https://jukebox.openai.com/?song=787948732
Death Grips ("Hot Head"): https://jukebox.openai.com/?song=787974736
The National ("Little Faith"): https://jukebox.openai.com/?song=787984729
Lana Del Rey ("Prom Song"): https://jukebox.openai.com/?song=787971706
The New Pornographers ("Adventures in Solitude"): https://jukebox.openai.com/?song=787960264