What are some fund board games that are able to be played be two players?

Backgammon, Chess, Checkers, Go, Scrabble

Chess, Checkers

Yahtzee, Checkers, Life, Matches.

Ticket to Ride

Carcassonne

Tafl games, such as King's Table

http://en.wikipedia.org/wiki/Tafl_games

Mancala

http://en.wikipedia.org/wiki/Mancala

Checkers

http://en.wikipedia.org/wiki/Draughts

Nine Men's Morris (aka Mill)

http://en.wikipedia.org/wiki/Nine_Men%27s_Morris

The Boardgamegeek has a list of two-player games if you use the advanced search feature. Use this link: https://boardgamegeek.com/advsearch/boardgame Don's Game Closet has a healthy list of two-player boardgames too. Use this link: http://www.donsgamecloset.com/03GameCategoryTwoPla...

I recommend Lost Cites by Rio Grande Games. Here are two great lists:

http://www.boardgamegeek.com/geeklist/59686/item/1...

http://www.boardgamegeek.com/geeklist/16912/just-u...

Chess, Big Business, Raise the Titanic , Payday, Othello..........

Scrabble, 10,000 (a dice game)

Battleship, sorry, monopoly, spit (a card game)