For wheel of fortune, its who can get the most points for the same phrase.
The games, to the best of my knowledge, have two players solving the same 'board' to compete against each other. I believe if you play with $.60 tickets, you win a dollar which imputes 20% edge, at least on the lowest buy-in. The house edge on these games is massive (about 20%), but a fun challenge. Quick breakdown for people at the top of this, my specific belief / remarks about WoF at the bottom.
Although I'm mostly focused on wheel of fortune, I welcome discussion of any other games you've played. Fanduel has some new options for iPhone users for gambling against one another in games of 'skill'.