Having a new group means the opportunity for a new way of commencing the game. What this time would be like is to have players come up with characters together, then hash out a party history, and record this before any actual game-specific character generation takes place. A character would have a systemless record of their BG, history, contacts and motivations. From there the character can be defined in any system. The party history would become a shared document and can be updated as the game progresses.
What I’m wondering is if others have gone through something similar and how it turned out?