A lot would depend on the age and condition of the boat. Earlier this year, Ray from "Karma Waters" single-handed his Bavaria 44 ( 2002 model from memory) around Cape Horn on a trip ( partly the wrong way) from the Med to Australia. If your boat has no damage, it should go anywhere.
Other than creature comforts, I would tend to go for ISAF cat 1 requirements for Oceans. For the Med, a good Bimini, 100m of chain, a decent anchor, heaps of fenders, an anchor thief. For the Med, I suggest the book, "Harbour Manoeuvres" written by a couple of Germans but translated into English.
Ray found motoring in rolly waves with low fuel levels a problem with the motor sucking air in the fuel line. No design issues but ensure maintenance and rig checks are done.
Check out the forums here for particular issues you are likely to get.
raig
s/v "Shirley Valentine"