I know maybe 4 or 5 basic designs of "fridge".
A standard compressor-based fridge - basically the same as you have at home. Runs on
electric. So you need to tell us how much electricity you have available. You can get
boat specific ones that run on 12V, or people do use small efficient home ones on an invertor as they often
work out as efficient/inefficient.
A gas /
electric fridge like you get in a caravan. Can run on gas as well. Do you have gas on board? The
installation will be a PITA, to be frank. Piping, venting etc. Not sure with modern electricity its considered any more efficient.
A good cool box. With not cooler unit and filled with ice packs etc. The number of openings matters.
Insulation matters. But in the right hands, 4 days cold is probably possible with the fanciest boxes. But they can cost nearly as much as an electric unit.
A Piezo Electric Unit. You may have seen such in Halfrauds etc. A standard picnic cool box which you can
plug in. They are electrically very inefficient. But in a well insulated cool box, it might not be that bad. They can usually only cool to 15C below ambient so depends where you are. Don't normally have a thermostat but nothing to stop you adding one! You can even buy the units and build your own if you had a specific space in mind. No
cooling gas required, so
installation is easy but very electrically inefficient. If you can spare the Amps then building your own and adding plenty of
insulation could be a good option. Adding cool packs might be beneficial, and definitely add a digital thermostat. Home build possible < £100 in a custom space.
Evaporation Fridge - basically a wet box that evaporates the
water off leaving a cool surface. Far less effective than an insulated system. But no electricity required. It worked OK as a terracotta pot on my doorstep for milk deliveries that came at 12 am and were taken out at 10 am next morning. But never measured temps etc.
I personally use a Waeco CFX 40
https://bestoutdooritems.com/best-outdoor-refrigerator/ for transporting
food in the back of the car on long journeys not particularly
cheap but very good, it will even freeze stuff, runs on 12 / 24 or 240 volts.
There are a lot of useful and interesting videos on this topic on Youtube, I will leave one here, I hope someone will help in choosing the future. Good luck!