Basically, there are 6 different pet monsters that can be kept virtually online in the site. Furi is the first monster of all. Just like his name, he is full of fur. If only his color is white, he will look like a legendary big foot monster or Yeti that can be found in snowy area.
If the world has lazy Garfield, Moshi Monsters has crazy Katsuma. This monster is mentioned to have similar physical appearance to that cat because of their stripe colors that has a quite high level of similarities. Other than Katsuma, there is one other monster character that is actually quite similar too to a character in an animation movie, Puss in Boots. This monster is Poppet, who wears a pair of blue boots. Lastly, there is Diavlo that might remind you of evil characters in Diablo the video game but this one is way cuter.