If you are looking to make it an ethical Christmas, we have found three sources for recycled wrapping paper and fairtrade wrapping paper, which can all be ordered quickly and easily online:
Oxfam recycled Christmas wrapping paper is made from 75 per cent recycled materials. They have 4 different designs, including one for children, and were the cheapest we found.
Natural Collection 
Natural collection have a wider range of recycled wrapping paper, with more designs, and their wrapping paper is 100% recycled. It is slightly more expensive than the Oxfam option though. But they also do a bumper pack of recycled cards and present tags too.
Ethical Superstore have the widest selection of wrapping paper, some which is recycled and some which is fairtrade. They have 15 designs to choose from, and they also seem to be the cheapest. The fairtrade wrapping paper is from Fairtrade Media.