Not sure what you'd do with it, but hominy starts with h. :)
Hamburger also comes to mind.
Hawaiian Punch
Herb something
Honey something (maybe honey cakes ala The Wiggles?)
Honey Bunches of Oats (DS's favorite cereal)
Head lettuce
Harvati cheese
Hoppin' John (slightly spicy mix of black eyed peas and rice)
What in the world are you supposed to do with x? I like the cookie cutter idea. Maybe lots of x-mas recipes. :)