Herr Ottinger brought up in the "let's pretend" thread about a distinction between fairness and equitability. Apart from shows like 100%, no game is really fair. For example, on Keynotes, it is quite unfair that a team that loses the first two songs can win the game outright by identifying the third mystery tune. It's also unfair, to some extent, that a player in the lead can lose the game by hitting a whammy, or that one player can get three daily doubles and the other none.
The problem I have is when shows have inequity when dealing with contestants in roles that otherwise appear identical. I don't have a problem with shows like Whew! and 1 vs. 100, as it is clear that one player is a Charger and the other is a Blocker, and one role might win more often. There is nothing wrong with that per se. The inequity problem arises when equal contestants are treated differently under the rules, or when a game with inequitable roles has the roles assigned in an inequitable way. For example, one of my pet peeves on Tic-Tac-Dough is that the player in the X position does have a significant (and I would say game-breaking) advantage by being able to move first in every game. This would not be a problem if the role was assigned at random, or by a toss-up question, or the like. But instead, it is arbitrarily assigned to the player who won the last game, giving the challenger the shaft in an inequitable fashion. Similarly, on Whew!, the returning champion can play the advantaged role twice, requiring the challenger to win with the disadvantaged role. On the other hand, the spoiler format for Merv Griffin's Crosswords may be horribly broken and unfair, but since the roles of front-row player and spoiler are clearly distinguished and assigned at random, it is not inequitable. Similarly, Jeopardy!'s Daily Doubles may all go to one player, but, before the categories are revealed, each player has an equal chance of getting each daily double, so that is not inequitable either.
Fair game shows are really, really boring. But it's possible to create fair game shows without having to resort to inequitability in the game format.