Well, Google's Emoji Kitchen solves exactly this problem by letting you mix and match up different emojis to create new ones.

Every Emoji means something different, but unfortunately, Gene, a so-called "Meh" Emoji, has a problem. He has all the expressions of the faces. Thinking that he is special in his own way ...

But the latest translation eschews the written word altogether, telling the story through emoji icons—the pictograms seen in text messages and e-mails. It’s the most ambitious (and playful ...