Not much choice
I was just looking through the West Marine catalog and see very little choice unless you want to go to a front loading/opening household type refrigerator. Some of these are switchable for either 12 volt or 120 volt. Otherwise, your choice is pretty much 12 volt or engine driven.The batteries power the refrigerator at all times. The batteries in turn are constantly charged by the shore power charger or the engine-driven alternator when underway. You don't really need a high output alternator and larger batteries unless you spend a lot of time on the hook or cruising. Today's refrigeration units are twice as efficient as those of ten years ago. There has been some question whether the constant and simultaneous drain and charge on the batteries shortens their lives but I have not seen the question resolved. Also bear in mind that the compressor in a good unit in a well-insulated box will run only half the time -- less in cool weather, if water cooled and if left alone with the box not opened for days at a time.Our boat (O'Day 37) does have a high output alternator and big batteries (two 4Ds). Our new refrigerator is a keel cooled unit that literally uses less than half the power our old air cooled one did. We can hang on the hook with the fridge running for three days before we have to charge batteries.