It's a really tough choice on Gamesverse but I think I gotta back the Pokémon universe too. Money's easy, people leave useful stuff all over the place, you can walk into anyone's home and be welcomed as a friend, and you get to ride Dragons and Sea Serpents whenever you please.
As for which character to be, probably Big Sister from Bioshock 2. Bounce around effortlessly, telekenectically strong enough to drag a human into my ADAM needle, conjure flames from nowhere, a suit strong enough to suffer the pressures of the deep deep water; admittedly some of those qualities are unneeded when you have Pokémon in your pocket but it's nice to be able to do them all yourself.