so far

Carol of the Bells is played most often.

Second Tier:

Do You Hear What I Hear?

Have Yourself a Merry Little Christmas

Winter Wonderland

Sleigh Ride

Jingle Bell Rock 

Third Tier:

Rudolph the Red-Nosed Reindeer

It's the Most Wonderful Time of the Year

Santa Claus is Coming to Town 

Holly Jolly Christmas 

Fourth Tier:

Jingle Bells

Let it Snow

O Holy Night 

Rockin Around the Christmas Tree 

⛄🎄⛄🎄⛄ 🦌🎄🦌🎄

So, what are the significant points?

Obviously, less of an emphasis on history and Jesus.  Surprisingly, Carol of the Bells is not, to me at least; well it isn't actually a carol.  But I have to look up the definition.  And it's the only song anywhere on the list that mentions the name Jesus. There's one version that mentions Jesus and the others are instrumental.  Ironic that the list is noticeable for not much Jesus but the most prolific on the list uses it.