Use the very customizable creation tool to make a figure and work on schema around describing a person (face, hair, accessories, etc). You can always use the "Randomize" button and see what happens. I think I accidentally created Snooki from Jersey Shore:
Once you mark your character as Finished, you can use two other fun aspects of the site. The Stage Name Generator lets you pick a type of vacation for your character (perhaps first brainstorm what would be associated with each vacation). The Generator will suggest names, providing a context for discussing why, say, "Sebastian Trekman" would go on a "Fun and Adventure" Vacay. Oops, I should have marked Snooki as female, but you get the idea.
Finally, you can use the Script Creator, a sort of Mad Libs activity where you get to write an adventure story for your character.