Oops, it doesn't look like 'pat day' is a national day..

Other days

unicorn

Unicorn Day
martini

Martini Day
gallery

Gallery Day
cuddle up

Cuddle Up Day
eat what you want

Eat What You Want Day
buddy

Buddy Day
me

Me Day
coffee

Coffee Day
frozen yogurt

Frozen Yogurt Day
bow tie

Bow Tie Day