The origin/background selection is a 5e thing, though it is much more involved in 5e. It basically grants you some basic equipment in addition to the proficiencies, but also certain features such connections. In addition, it lets you choose (or determine randomly) an ideal, a bond, a flaw and your basic personality.
Obviously not all of that can be incorporated into a videogame, but certain features, like the added starting gear and a bond (i.. personal quest), could and should be added to the game in my opinion.
Also, agreed on color (and maybe visual) customization of our armor.
