As you can see here most of the Tim Burton characters have received presents from Santa Clause (not Sandy Claws). And notice there are three Johnny Depp characters here.

MERRY CHRISTMAS!

Beetle Juice and Tim Burton's Corpse Bride (c) Warner Bros.

Edward Scissorhands (c) 20th Century Fox

Tim Burton's The Nightmare Before Christmas and Alice in Wonderland (c) Disney

Stainboy (c) Tim Burton