In a medium mixing bowl, stir together wafer crumbs and melted butter. Press onto bottom and 1-1/2 inches up the sides of a 9-inch springform pan. Bake in a 350 degree F oven for 15 minutes. Remove the crust from the oven and cool on a wire rack.
In a small saucepan, soften the unflavored gelatin in cold water. Place over low heat and stir mixture until gelatin dissolves. Remove from heat and set aside.
In a large mixing bowl, beat the cream cheese and sugar with an electric mixer until well combined. Gradually add the milk, the finely crushed peppermint candies and the gelatin mixture, mixing well. Chill the mixture until its partially set, stirring occasionally.
In a medium bowl, beat the 1 cup whipping cream just to soft peaks (tips curl). Then, fold the whipped cream and chopped milk chocolate into cream cheese mixture. If necessary, chill again until the mixture mounds. Spoon into the cooled crust. Cover and chill for several hours or overnight until firm.
Garnish cheesecake with whipped cream, the shaved chocolate and/or the coarsely chopped peppermint candies, if you like.