パンツの日 means Pantsu Day, a wordplay on the pronunciation of 8 and 2 in Japanese. Unlike the pronunciation "pants" suggests, パンツ/pantsu usually refers to underwear in Japanese.
かき氷の日 (Shaved Ice Day) is set on July 25, a woldplay on the pronunciation of 7, 2, 5.
A translation of 土用の丑の日 is The Day of The Ox in Midsummer. The tradition is to eat eel rice or unadon on the day.
The official name of the mascot of the 2025 Osaka/Kansai Expo has just been announced - Myakumyaku (ミャクミャク).