Listen to This Year’s Santa Baby online. This Year’s Santa Baby is an English language song and is sung by Eartha Kitt. This Year’s Santa Baby, from the album Four Classic Albums (That Bad Eartha / Down To Eartha / Thursdays Child / St. Louis Blues) (Digitally Remastered), was released in the year 2009. The duration of the song is 3:18. Download English songs online from JioSaavn.