Hmm. I think the obvious choices would be cop and media.
In the original Cyberpunk 2020 PnP, the roles were;
Of those, we already have Solo, Netrunner and Techie as classes V can spec into. Corporate, Nomad and something resembling Fixer (criminal) is are already available as backgrounds.
Rockerboy is a bit difficult, as we have Johnny Silverhand accompanying us in the game and it is a class that is very focuses on talking, something CDPR has said will not make an appearance as a skill of its own.
That leaves Media and Cop, both of which could be interesting. Cop is pretty straight forward - you used to be a cop and got kicked out due to either legitimate reasons or backstabbery. It would open up having some unique interactions with members of police that you may have served with and the reason for getting kicked out could serve as a jumping point for some payback.
Media is more difficult, as it i was also a role that relied a great deal on talking. But perhaps the background could be more along the lines of fringe, in the trenches camera man than full on-air celebrity. It would be a far more public background than the others, with the possibility of any number of people knowing your name and possibly holding grudges against you.