I used the Japanese translation of the lyrics from worldfolksong.com
This is simply a lyric sheet for Frosty the Snowman and Santa Claus is Coming to Town. For each English line I put the Japanese translation right under it to hopefully make it easier for students to follow along.
This could accompany a Christmas themed lesson, go up on an English board, or just be for funsies. If you do use it in class, I would recommend showing the music video with it so the students can actually hear the song along with visuals. Also probably plan to set aside at least 15 minutes to watch the videos and discuss the lyrics.