Ookami means wolf in Japanese and yuki means snow in Japanese so, yuki ookami means snow wolf in Japanese.
ookami is the only one.
To say the words crimson wolf in Japanese language you say shinku no okami. These words are said as purpura lupum in Latin.You may say 'akai ookami,' written: 赤い狼
Fire wolf is kaji ookami in Japanese. However, there are many words for fire in Japanese, and I am not certain if kaji is the best word to use in this context. Other words for fire in Japanese are "hi" and "ka".
You may say 'yuki no ookami,' written: 雪乃狼
Snow Wolf was created in 1997.
The don't, there is no such animal as a "Snow Wolf".
There are many words for spirit in Japanese. I am not sure if this is the most suitable translation, but ookami no genkiwould at least literally mean wolf's spirit.
There are several words for 'warrior' in Japanese, but a possible translation would be musha ookami.
Wolf eyes is ookami (no) me in Japanese.
Death wolf is shi (no) ookami in Japanese.There are many words for death in Japanese, shi is among the most used. So there are other possible ways of translating it.
Green wolf is midori ookami in Japanese.
The Japanese word for wolf pup is Koinu okami
Ice wolf is kori ookami in Japanese.