The names for Beijing’s mascots for the 2008 Olympics are the "Five Friendlies". Here’s a link to a blog that depicts the mascots enjoying some fun-filled communist-style events:
UPDATE (Apr 15/06): Don’t forget to check out Forced Sterilization Football [This webpage no longer exists, and was never archived by the Wayback Machine.],
Hu Flung Falun Gong [This webpage no longer exists. Click link for archived copy on the Wayback Machine.],
the Organ Transplant Relay [This webpage no longer exists, and was never archived by the Wayback Machine.],
and the Tibetan Dissident Biathalon [This webpage no longer exists. Click link for archived copy on the Wayback Machine.].
China also has (non-Olympic related) cyber-cop mascots, too.