So many things affect game meat taste. The age of the animal, if it was run hard before harvest, how soon it was gutted and how quickly it was cooled down after harvest, the animals diet, if the animal was male or female can affect many kinds.
Here in Iowa, we have mostly grain fed dear, so they really don't have a Gamey taste to them, although an older buck (Ya know, the trophies everybody is after) are a bit tougher and gameier then the does. My preference has always been, if I'm lookin for meat, shoot a doe, lookin to hang it on the wall, go for the buck, then live with that choice at the dinner table.
Some folks do soak in milk to help with the taste. I guess it has never really bothered me much. Course, I make most of mine into sausage and save a few steaks for grillin.
I think it really comes down to personnel taste! There are probably as many ways of dealing with it as there are posters here on the board! And that is what makes this a cool place!
Hope this helps some. Good luck Rich!