Here are some useful links to help outfit a remote cabin:
http://www.lehmans.com
http://www.dometic.com/templates/ProductCategory.aspx?id=1426
http://www.danby.com/en/productDetails.asp?model_no=DPR2262W&dept=0008
I think the most important furnishing for a remote cabin is ... a couple of fire extinguishers.
And somewhere, perhaps outside, a heavy plastic trash barrel filled with water and just enough anti-freeze to keep it from freezing. Has to be secured to keep animals from drinking it. Be sure to use the enviromentally good stuff. Keep a couple of fire buckets inside the barrel.
Another critical resourse in a remote cabin is an emergency shelter away from the main building in case it catches fire and burns down. This could be nothing more than an insulated tool shed with a sealed box with some food, water, blankets, candles/lantern and an air mattress.
This could even be a loft over a garage (there's a reason why smart farmers/ranchers/homesteaders don't have attached garages!).