Yeah, I think such a list would have to have an option of two feats for each Background, and the player gets to choose the one they want. If it's done properly, the Acolyte background could be an interesting choice for characters that aren't clerics or paladins.
Maybe something like:
Acolyte: if your character has the Acolyte background, they can start with their choice of the Healer feat or the Ritual Caster feat.
Soldier: if your character has the Soldier background, they can start with their choice of the Mounted Combatant feat or the Weapon Master feat.
However this ends up working, I think I'll impose a restriction that characters cannot start with more than one feat at 1st level. That's a bridge too far, in my opinion.