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

Other days

china

China Day
lash

Lash Day
offer

Offer Day
lisp

Lisp Day
cuddle up

Cuddle Up Day
chocolate milkshake

Chocolate Milkshake Day
kiss a ginger

Kiss A Ginger Day
one

One Day
tulip

Tulip Day
youth

Youth Day