青い氷 (aoi koori) would mean "blue ice" in Japanese.
If you mean " blue icecream", it's better to say 青いアイスクリーム (aoi aisukuriimu)
氷の鳥
Kōri no tori
Ice cat is 氷の猫 in Japanese.
Kōri ryū
The Japanese word for Dragon is "Ryuu"
there is no such thing as ice ring of the dragon. you can't just make up random phrases and expect them to be translated to japanese.
Ice wolf is kori ookami in Japanese.
Doragonfurūtsu
ドラゴンストライキ
Kagami Ryū
ryu-ken
'Kinzoku no ryuu'.
ryu no ha
ginryu
Doragon iki
to say dragon in Japanese is 龍 and it is read ryuu hope this helps :)