On sheet of waxed paper, spread Swiss almond cheese into 5-inch round, about 1/2 inch thick. With small metal spatula, smooth side and top.
Evenly spread Cheddar cheese over Swiss cheese; smooth side and top.
Evenly spread cream cheese spread over top; smooth side and top to even layers. Sprinkle almonds over top; press in lightly. Press parsley into side of cheese wheel. Serve immediately, or wrap in waxed paper and refrigerate until serving time.
To serve, place cheese wheel on serving plate; arrange crackers around cheese. Garnish with currants.