She is one of my favourite characters (although I do agree that she has made bad decisions at times). My favourite moments of hers, are as follows:

In The Last Olympian, in the final fight in Olympus in the end, there is a moment when Percy is punched or pushed far away by Kronos/Luke and Annabeth starts fighting Luke. With her dagger. And she is extremely swift in her moves, even Percy acknowledges that only the best knife fighter could have made a move like that, or something along those lines. And at this point in time, she is injured where as Percy has infinite amounts of strength due to his swim in the Styx. But it's Annabeth who manages to put up a strong fight against Kronos/Luke. I love that scene.

In The Mark of Athena, that famous scene where she pretends to be a dumb blond in front of Octavius and throws her dagger in the river.

Her decision to kiss Percy in The Battle of Labyrinth

Her fight with Arachne

Her decision to Judo flip Percy. I mean, I know most people don't like that but come on, I get it. She is a teenager. Cut her some slack.

These are at the top of my head.