I guess this isn't really a "Shameful confession" as I feel no shame about it, though other fans feel that I should....
Zelda II: The Adventure Of Link is one of my favorite games in the series.
It seems that at least one other OT member will agree that it's a great game, but I don't wanna jump to conclusions...
I'll go further into this possible shame by saying it's also the only Zelda title I take as being a sequel or any sort of continuation from the original. I actually view it as the second part of the first game.
I think it actually is at the end of the official timeline, but other than this one, I view all the Zelda titles to be re-tellings of the same Legend, not sequels or prequels to an on-going story.
(I've actually only played through the first bit of Majoras Mask, so I'm not sure if I'll consider it a true sequel to OOT or as it's own thing yet. Also I haven't played A Link Between Worlds at all, so that may be another instance of linking (ha!) two titles.)