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

Other days

unicorn

Unicorn Day
tulip

Tulip Day
slime

Slime Day
bubble bath

Bubble Bath Day
lisp

Lisp Day
embarrass your best friend

Embarrass Your Best Friend Day
boyfriend

Boyfriend Day
youth

Youth Day
ruby

Ruby Day
bow tie

Bow Tie Day