Palliative band names refer to bands with names related to relieving or alleviating pain:
1. First Aid Kit
“Shattered And Hollow”
https://www.youtube.com/watch?v=hW_RLtnqY1o
2. The Cure
“Boys Don’t Cry”
3. Therapy? — an alternative metal band from Ireland
4. Band Aid — a charity supergroup featuring mostly British & Irish musicians
Let me know if there are any more that you can think of!