I can't see the embeded videos but some goofy (to me) Christmas songs I like are the "Hippopotamus for Christmas", "Santa Claus and his Old Lady", "Mele Kalikimaka" (Jimmy Buffet), "You're a Mean One, Mr. Grinch", the Heat Miser song, etc.
I like about all Christmas music. Almost all I've been listening to for weeks. One station up here started playing it the day after Halloween.