Volunteer's Dilemma and the Nash Bargaining Game have more complex equilbiria, so they're not quite as good if you're looking for an introduction to game theory. Stag Hunt is basically a game about whether the players know they are in such a game and can communicate about it, so it's not the best for learning about games themselves. Prisoner's Dilemma really stands out among the basic games.
But really, Prisoner's Dilemma is uniquely fascinating in iterated form [0]. Iterated Stag Hunt would be boring, and Iterated Volunteer's Dilemma would be crazy, but Iterated Prisoner's Dilemma is a very deep game which seems to have things to say about Biology, Politics, and Computer Science all together.
There is:
Stag Hunt http://en.wikipedia.org/wiki/Stag_hunt
http://en.wikipedia.org/wiki/Volunteer%27s_dilemma is also interesting
http://en.wikipedia.org/wiki/Nash_bargaining_game