Here's a nice, light rendition of the excellent Jack Rose cocktail:
3/4 oz applejack (I like Laird's Straight Apple Brandy)
3/4 oz rye whiskey
3/4 oz dry vermouth
3/4 oz real pomegranate grenadine
3/4 oz lime juice
Shake and strain into a small cocktail glass. Garnish with a lemon twist if you're like that.
Just some simple experimentation, but I like the result in this case.