A couple of years ago I gave up on finding anything but secular paper and started buying fabric instead. I have been able to find Christian Christmas themed fabric at Hobby Lobby and other fabric stores. I sew bags and tie the tops with decorative ribbon or cord. The best thing is that they are resuable.
The Japanese are big on wrapping cloths. People give gifts in the cloths, which are then another gift in themselves. I like the idea of gift bags made from Christmas fabric. The recipient could then re-use that bag for a gift for someone else. Sure would save on trash.