In "Memento" the main character has got anterograde amnesia, but he's aware of it. Is it even possible and how, if it is? Compare it to "50 First Dates" — the heroine is not aware of her condition.
Imagine you wake up in the morning. How would you come to awareness that you've got anterograde amnesia, if you don't remember anything since the moment you got it, including that? And even if you find this out by logical thinking, you'll forget it soon (in "Memento", what, in several minutes?)