http://en.wikipedia.org/wiki/Chinese_guardian_lion
Well I was going with the Japanese translation, so I didn't know that Shishi means "Stone Lion" in Chinese.
Monkey: Son Goku (孫悟空)
Rabbit: Inaba of the Moon (月の稲葉 - Inaba of the Moon)
Tiger: Daigyakusatsu (大虐殺 - Carnage)
Sheep: Onkōsōgen (温厚草原 - Gentle Grassland/Meadow)
Horse: Longma (龍馬 - Dragon Horse or An Eminent Person)
Dog: Ookami (狼 - Wolf) or Ookami-no-Inugami (狼の犬神 - Dog God's Wolf) <- I don't know if I can use this one or it is Inugami-no-Ookami (犬神の狼) instead?
Snake: Hakujoushi (ハクジョウシ)
Roster: Kou of the Sun (日の光 - Light of the Sun)
Ox: Torvald (means Thor's Ruler)
Boar: Tamotsu (保 - Defender/Protector)
Rat: Reinusutto (霊盗人 - Spirit Thief)
Dragon: Kokushibyou (黒死病 - Black Death)
Collective Known as:
Shinpijū (Mystic Beasts)I believe I like these names, but if you think some of the need a change or have a better one that associates them to mystical creatures better let me know!