I have just copied and pasted this from my post on the roe skinning thread.
I used to skin carcases as per your photos etc., until I went to a slaughter house in Norway where they killed and skinned Sheep and Reindeer.
Since that time I skin from the front end, hanging the animal by the front legs, the skin comes of a LOT easier and cleaner eg little flesh left on the skin.
It makes skinning munties a lot easier!
I have bad arthritis so find it difficult to pull skins of, s I do them as above but use an electric winch to pull them of.