If you're looking for something more sophisticated than just whiskey or brandy, try the Saratoga. This cocktail is made with both spirits plus vermouth—it has hints of sweetness that make this drink similar to Manhattans.
1 oz. Brandy
1 oz. Whiskey
1 oz. Sweet vermouth
2 dashes Bitters
In a mixing glass with ice, combine all ingredients. Stir well.
Strain into a chilled cocktail glass.
Twist a lemon or orange peel on top of the drink.
Though shaking is not required—it can help integrate the flavors and make them more complex.