Oops, it doesn't look like 'titles with different teams on the same day' is a national day..

Other days

unicorn

Unicorn Day
chocolate milkshake

Chocolate Milkshake Day
pampering

Pampering Day
african immigrant and refugee hiv and hep awareness

African Immigrant And Refugee Hiv And Hep Awareness Day
hannah

Hannah Day
offer

Offer Day
bow tie

Bow Tie Day
me

Me Day
special education

Special Education Day
cuddle up

Cuddle Up Day