When I said "like Monopoly or Catan" I wasn't looking for games similar to them in style or gameplay -- I meant like them in the sense that they have features such as cards and other additional game elements beyond just the board and playing pieces.
Come to think of it, Battleship is purely skill based though it's quite simplistic in that, like chess, it only has a board and pieces.
Thanks for the list. I'll check them out.