I'm cruising on RCCL Monarch of the Seas next weekend and from everything I've heard from here and the people from RCCL, it has been strongly recommended that I book a flight out of LAX that departs after 1:30pm.
RCCL Mariner of the Seas - Mar 05
NCL Norwegian Dawn - Jun 04
RCCL Mariner of the Seas - Feb 04
Golden Princess - Sep 03
RCCL Vision of the Seas - May 03
RCCL Brilliance of the Seas - Sep 02
NCL Norwegian Star - May 02