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

Other days

cuddle up

Cuddle Up Day
china

China Day
one

One Day
coffee

Coffee Day
eat what you want

Eat What You Want Day
nail polish

Nail Polish Day
law

Law Day
my little pony

My Little Pony Day
blanket fort

Blanket Fort Day
singles

Singles Day