I understand that celebrating the Communion Table is a celebration of Jesus death - but why not celebrate His birth and resurrection, too, in a "special" way (ie beyond just celebrating His resurrection every Sunday by that being the the church comes together for worship)?
Jehovah's Witnesses don't celebrate Christmas because of the pagan origins of many of our current customs. They cover this in several articles on their site. A search of their site returns many. They also reject several other holidays, citing similar reasons.
Several other denominations have similar beliefs, and even within denominations that largely celebrate holidays, there are those with personal convictions about various aspects of holidays and refuse to celebrate to one degree or another. It's not always a traditional boundary, since most denominations agree that Christianity isn't about rules and regulations, but rather about a relationship with Christ, and His saving grace.
Using a couple of personal examples, I come from a Baptist Church, and most of us celebrate Christmas, have Christmas trees, etc. However, there are some in my own Church that refuse to have the trees. I personally don't like telling the kids about Santa Claus because I don't want them questioning whether they can trust me to tell the truth.
Note, that last paragraph was included as an example of personal convictions, not an endorsement or indictment of any person's choice to celebrate in whatever way they see fit.
The association of Christmas with Christianity is a recent development among non-Catholic churches.
For instance, one reason the Puritans fled from England to the New World was to free themselves from the paganism that had infected Christianity:
Christmas celebrations in New England were illegal during parts of the 17th century, and were culturally taboo or rare in former Puritan colonies from foundation until the mid-18th century. The Puritan community found no scriptural justification for celebrating Christmas, and associated such celebrations with paganism and idolatry. — Christmas in Puritan New England - Wikipedia
Almost nothing that we associate with Christmas today has anything to do with the Biblical facts.
Similarly, Easter too was regarded as mostly paganism:
The early Puritans didn’t like Easter any more than they liked Christmas. They banned Christmas in 1659, fining anyone five shillings for celebrating the holiday. They ignored Easter, Whitsunday and other holidays. May Day celebrations, which included the hated Maypole, were punished severely. — Puritan Easter, or The Devil's Holiday - New England Historical Society
Christams is a pagan holiday it has nothing to do with the birth of Jesus infact it has nothing to do with Jesus period. So the question is if it's not Jesus birthday then who's birthday is it and why are so many still celebrating it. The order of the illuminatti is behind most of this deception it's actually the pagan god Tammuz the son of Nimrod who was born on December 25th. No where in the bible does it speak of an actual date for Jesus birth so it saddens me to think that we have somehow allowed this occult pagan god to be glorified and celebrated in the place of our true lord and savior Jesus Christ. The paganization of christianity must be stopped inorder for God to truly bless his elected people.