C’mon Japan, are you guys even trying?
Um okay but. Your so called “western” Jack Frost is from Shin Megami Tensei, a JAPANESE game. Your so called “Japanese” Jack Frost is from Rise of the Guardians, a film produced in AMERICA. You got your countries of origin mixed up there.
Sorry, but you must be mistaken here. The Jack on the left is from the American game Super Monster Time, and the Jack on the right is from the Japanese shoujo anime Gaadianzu Densetsu no Yuusha-tachi.