I don't have a favourite problem but what I do find annoying about TT is that often it features positions in which there are more than one ways to "skin the cat" but if you so much as dare to choose a move other than what the comp had in mind then it takes it as the wrong move.
Favorite Tactics Trainer Problem
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Do you have a favorite Tactics Trainer problem or problems? Do you
have a favorite type of these problems, for example, rook sacrifices? Is there
a certain type of problem you think there should be more of, and is there a
certain type of problem you think is most beneficial, and is there a certain type
of problem you think is least beneficial?