As someone posted, there are a LOT of Christmas carols and songs. Probably my two favorites, not among the choices (and not complaining about it), are "Joy to the World" and "Hark! The Herald Angels Sing".
At age 6, as part of my school (parochial) work and to participate in our church's Christmas presentation, I memorized "Joy to the World", "Hark! The Herald Angels Sing", "Silent Night", "Oh Come All Ye Faithful", "O Little Town of Bethlehem", "Away in a Manger", and "From Heaven Above to Earth I Come". All. Verses. I don't know how I managed to do it, but they have stuck with me through the decades.