Not really "tabletop," but I felt that it's worth adding there are some great multiplayer videogames which allow roleplaying. 

Games such as Total War allow you to control a nation in a historical period, with no plot- you are trying to conquer everything... or not- and you and other players can play the campaign in multiplayer, posting your turns in a roleplay fashion. I've seen some great roleplays done like this. It's quite similar to tabletop gaming, but instead of using dice, you are playing an actual game. 

I'm actually doing a single player variant in Medieval 2: Total War on a different forum, following the story of the island of Rhodes in the Aegean Sea during the medieval period. The family trees and characters develop as you want, so it provides you with plenty of opportunities to roleplay the various characters throughout their lives.