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

Other days

buddy

Buddy Day
boy friend

Boy Friend Day
brow

Brow Day
lost sock memorial

Lost Sock Memorial Day
girl friend

Girl Friend Day
stud

Stud Day
kiss a ginger

Kiss A Ginger Day
me

Me Day
my little pony

My Little Pony Day
unicorn

Unicorn Day