At our house, Santa leaves his gifts wrapped in paper that has Santas on it (but the realistic picture looking Santas, not the cartoony ones).
As for the presents from Mommy & Daddy, the presents for each kid are wrapped in the same wrapping paper (so my daughter's gifts will all be wrapped in a wrapping paper that suits her, such as a particular cartoon character - there may be 2 different papers used but her gifts are all in those). We started doing that after my son was born since he couldn't read (he's 3 now and can read his name, but up to last year, he couldn't), he could still identify his own gifts.
For my nephew, we usually wrap it in the same paper as what we use for my son or a leftover generic Christmasy paper.
We don't exchange gifts with the adullts, so no worrying on wrapping anything else.