Since we live in Florida, our situation is somewhat the opposite: closing up the house while we are away for the summer. We leave the a/c on at 88 degrees, to keep humidity down and limit excess heat build-up. Water is turned off inside the house itself - I installed a shut-off just for that - but outside faucets remain on for emergency use. Water heater is off but remains full.
We cover the toilet bowls with plastic wrap so they don't evaporate to nothing and leave the trap dry, and also leave a few inches of water in the toilet tank so the seals & flapper valves stay moist. If I don't do that, they often require replacement when we return.
We used to turn the fridge off, but our new refrigerator had two successive failures which were attributed to corrosion caused by lack of cycling, so on the advice of the service techs we now we leave it on at a fairly warm setting. It is empty except for some water jugs (also recommended to help stabilize temp). I don't really understand why this is necessary when our older fridge never had an issue over a dozen years, but we do it to avoid more costly repairs.
Biggest thing: Make sure the house insurance is up to date!