"Grandma got run over by a reindeer" and "Rudolph the Red Nosed Reindeer" both mention Santa, even though he doesn't appear in the title. Are you only looking fro songs with Santa Claus in the title?

In the UK, Santa Claus more often used to be called "Father Christmas". I'm not sure that's still true these days though. There was a song by the Goodies called "Father Christmas Do Not Touch Me". Dunno if this counts though?