Buy seasonal baby gifts
Buy seasonal toys and games. Make sure that what you purchase are age appropriate new baby gifts, but buy products that are of high quality that the child can remember fondly or even continue to play with as he or she grows.
Consider purchasing a Christmas activity book of some sort. While a new baby will not be able to use an activity book on this particular Christmas, the book could become a fun tradition as the child grows. Each year, he or she will be able to participate a little more and the child will love the fact that he or she has owned the book since birth.
A new Christmas outfit
New Christmas outfits are highly appropriate baby Christmas gifts. The new parents will want to dress the child up and take him or her out, either to church services or simply into the Christmas shopping crowd. Make sure to provide a warm outer layer that matches the outfit as well.
A little-thought-of but much appreciated option for new baby gifts is a photography package. Parents love to have professional photos taken of their children but often lack the time and/or money for as many sittings as they would like. Prepay for a small photo package and sitting fee and offer to take the baby to the session if the parents do not have time.
Christmas-themed baby blankets and towels are highly appropriate baby Christmas gifts. Parents are sometimes able to build a collection of these items from new baby gifts and then re-use them year after year. Personalized embroidered baby blankets are a definite option.
New baby gifts that can be personalized, other than blankets, are excellent tokens that are truly appreciated by new parents. Picture frames, cups, photo albums and even books can be emblazoned with the child's name. How much fun would it be for a child learning to read, to see their name within the story? There are many options available for creating those "personal" touches.