Inunico.de is a project my friend Parker and I are working on. It is basically a browser-based character map that allows users to search for any of the Unicode characters.
It also supports a handy deep linking feature using readable URLs, e.g.: airplane.inunico.de, postal-mark-face.inunico.de or (yes) pile-of-poo.inunico.de.
Unfortunately, support for the characters varies by Operating System and browser. For the best effect, inunico.de recommends a recent Firefox with the Symbola font installed.