Fred of Fred The Monkey has eaten a raw turkey, cake mix, among other things.
In Homestar Runner, the King of Town has eaten some very odd things. In addition to a variety of technically-edible dishes such as butter-flavored soda, raw eggs, and a pile of salt, the King of Town has eaten a cardboard box covered in maple syrup, toilet paper, candy-corn-shaped Halloween lights, sticks of roll-on deodorant and an entire flock of fruit bats. It's confirmed that he'll eat anything if there's butter on it, or in it, or even near it, and the only thing he won't touch is peas (which makes one wonder what he'd do if presented with a bowl of buttered peas).
He's even consumed some of the other characters at one point (although they eventually returned—after three days.) The incident involved a swimming pool full of Red Flavored Fluffy Puff Translucent Dessert Related Substance, submerged characters in said pool, and a straw.
In one toon, it's hinted that he can eat Arbor Day. Don't ask.
Strong Mad is an even more extreme omnivore, eating things like rocks, glass, entire computers, and somehow literally sucking up bandwidth through a hose.
In the old-timey Homestar Runner program, Sickly Sam eats The Strongbad whole, despite his calm but surprised objection during the entire slow process. He soon after objects that the board games present in his stomach are inadequate.