I don't know about owning Burger Shot, but I would like a return of the businesses that you could run in Vice City Stories. Except I don't think I'd like all my business's to be under constant attack by enemy gangs, that was just annoying when you just wanted to roam around the game but then had to drive over to one of your business's to protect it from getting destroyed constantly.
It's a good way of getting money once the game is over, but I think you got perhaps far too much money from the business's in VCS.