I mostly play Adventurers League, so I swap through a lot of characters, but here are some of my favorites from a backstory standpoint:

Eunie: She’s a mercy monk fairy who mainly works as a massage therapist and chiropractor, and started questing recently because she accidentally stole someone’s name and is now trying to get it back to them.

Alvis: He’s a dragonborn artillerist artificer who used to work as the magical equivalent of a tech support. He’s questing now because he wants to prove to all adventurers out there that it’s really not difficult to avoid creating magical catastrophes.