Beat butter and cream cheese in a large mixing bowl till combined. Add sugar, almond extract and vanilla. Beat till combined. Beat in flour. Cover chill dough for 30 minutes or till easily worked but not too stiff.
Pack dough into a cookie press. Force dough through press onto ungressed cookie sheet. Bake in a 375 degree oven for 8 to 10 minutes or till edges of cookies are firm but not brown. Remove cookies and cool on wire racks.
Makes about 60.