AK, the Anna Kournakova hand. Looks great but rarely wins. Here is an idea of how I play AK:
AK out of position: stiff raise to persuade everyone to my left to fold.
AK with a few limpers: 3xBB + 1BB for every limper.
AK misses the flop: What type of action is on my right. What pot odds
are they giving me. If you get the right odds, call. If you don't, fold.
AK players check to me: Put in a continuation bet of about 1/2 pot. If it takes down the pot, great. If someone raises. fold. If someone calls, see what the turn is. Player that calls usually checks to you, see what the river is for free if the turn is a blank. If the is a A or K, bet for value on the river.
AK when blinds and antes are high and you are in late position and everyone folds to you: shove.
Heads up: shove.
These are basic ideas. Sometimes it deviates if I have the betting patterns of certain players.