One of the best gifts to give a neighbor for Christmas is a thoughtful, homemade baked good. Baking cookies or a small cake can show your appreciation for their kindness and friendship. If you're not the best baker, try your hand at making a simple chocolate or fruit loaf. You can also create a personalized photo album filled with pictures of the neighborhood, the neighborhood pets, and other special memories. This kind gesture will surely touch your neighbor's heart.