There are a large number of board games using hexagons - too many for me to offer a catalogue that I could keep up-to-date. I'll just list a selection:
One of the finest is the game of Hex (link to another page on this site); I've made some original contributions to the study of this game.
There are quite a number of ways to play Hexagonal Chess. The Chess Variants site has a whole list of them.
GIPF is a strategic game where in turn players place one piece until they get four-in-a-row. The website introduces several related games. Other links: Kurt Van der Branden's free game playing program GF1; and La Boite à Jeux - French online play, welcomes English speakers
With Hexxagon you attempt to surround your opponent's counters. A Flash version of the game is widely available on the web - just search Google. You can also play by email on Richard's PBeM server, an excellent free games server.
Abalone is a marble board game, with the object of ejecting your opponent's marbles from the board.
Tantrix is a game where you place hexagonal tiles each with a unique set of coloured lines joining sides. The object is to produce a long continuous coloured line.
Advocates of the above games will doubtless feel such a brief description does them scant justice. They're probably right.
page date: 28Feb07. I enjoy correspondence stimulated by this site. You can contact me here.