Question: what are fun two person games?
Answer: Scrabble. Classic word game!
Yahtzee. Classic dice game! ... 
Battleship (Quick)
Mancala (Quick) This is a classic fave that I haven't played in a long time. ... 
Monopoly. ... 
Forbidden Island (Cooperative, Quick) ... 
Forbidden Desert (Cooperative) ... 
Chess, Checkers, Batgammon (Quick)