Good fridges never die. They just eat up your energy costs.
I'm surprised you didn't mention the water heater?
It wasn't a surprise but my wife has taken to plugging in the minifridge in the basement. I guestimate it is burning up $25 a months.
You could probably check with your local utility and see if they offer free or low cost energy audits. If not you could do an air leak test yourself by using two box fans and duct tape. Set them up in adjacent windows or stack them in a door. Then suck the air out of your house. Then use a puffer or smoke (incense?) to see which sockets, doors, windows, pipe holes etc. are leaking.
Use 4 blankets in the winter and none in the summer.
Turn your water heater to it's lowest setting and wrap in old blankets. Consider upgrading efficiency wise and downgrading size wise. You should also google hot water heater maintenance to see how to keep it efficient.
The only thing at home that you might really need hot water for is shower. So theoretically you could put in a 110 watt inline heater at your shower and do away with the water heater entirely.
You can increase the efficiency of your fridge and freezer by keeping ziplock bags filled with air in all the open spaces.
Most fridges are used for tons of condiments and 3 day old leftovers you will never use. We have a huge side by side and actually use about 1/3 of it for real food. That said if you have lots of unused space you can add things from the pantry such as flour, sugar, oatmeal, peanut butter, olive oil etc.
A full fridge is a low cost to operate fridge.
Don't forget to clean the heat exchangers with some nice soapy water and ensure the air intake for the fan is dust bunny free.
You can also mess with the thermostat.
Practice opening the fridge just 4 or 5 times per day. It is ok to leave it open for several minutes at a time this way.
I lived for 6 months with no fridge a few years back. Had a good cooler and bought 2 bags of ice per week. Amazingly, things like bacon, eggs, cheese etc don't require refrigeration. Mine was mainly a beer cooler fridge anyway. So converting to vodka and wine saves a lot of refrigeration headaches!
I camp a lot and have finally learned how to do that without coolers.
If your using solar, you can convert a nice upright freezer to a fridge very easily. (you can google instructions, very simple)
An upright will use maybe 30 bucks a year in power. That is because the cold air stays in there when you open the door.
A very surprising energy hog is a portable space heater. Our 1500 watt unit uses a much power as it takes to run the entire house unit. Electric space heaters are major power suckers. We still use one in the bath in the morning for about 30 minutes rather than try to heat 40,000 cubic feet of air in the house.