Completed as a GM:
Curse of the Crimson Throne
Legacy of Fire
Rise of the Runelords
in that order.
Ran as a GM, Didn't Complete:
Kingmaker (Made it to the final book, but the group fell apart and everyone moved as college ended.)
Skull and Shackles (Tried running it as my first online-only AP with remnants of the same group. Circumstances (mostly my schedule at the time, but also other stuff) caused the weekly sessions to be cancelled for various reasons for a few months in a row, and my interest in running it just kind of died out during the lapse. Ended just a tiny bit into book 2.)
I've had some success with some other online campaigns since then (about to conclude a rather successful campaign of The Strange), so I'm likely going to get back into the swing of actively running things again soon. No specific plan yet, though, as I don't want to mentally move on from my The Strange campaign before that's actually done.
Edit: Just noticed the 'which of the ones you ran did you like the most?' bit. Curse of the Crimson Throne was by far the best of the bunch, but the group enjoyed all four of 'em. I'd place Kingmaker itself in the same quality bracket as Throne (though lower, and in the top bracket for different reasons); it was group-dynamic issues and college ending that ended it early, though, not the AP itself.
The best factors of Crimson Throne were the overall solidness of the adventures, the strong presence of the main villain, and the excellent NPCs (Laori Vaus being a particular favorite). Seven Days to the Grave remains my favorite overall adventure, and Skeletons of Scarwall stands as my favorite dungeon crawl (though some bits of Iron Gods look to potentially come close there from my readthrough of it).