Beetle Day in Japan
Beetle Day in Japan is held on June 4. Mushi No Hi. This event in the first decade of the month June is annual. 
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Be extra kind to all living creatures even if you dislike them. Six (read, mu) and 4 (read, shi) make up mushi — the Japanese word for bugs.
Similar holidays and events, festivals and interesting facts
Koromogae in Japan on June 1 (「衣替え」);
Bug Day in Japan on June 4
Sumitomo Mitsui Financial Day on June 6
Rock n’ Roll Day in Japan on June 9 (Rokku No Hi);
Chronometer Day in Japan on June 10 (according to legend, it was on this day in 671 that the chronometer first appeared in the palace of the Japanese emperor);
Dragon Boat Festival or Duanwu Festival on June 10
Sanno Festival in Japan on June 15 (June 10-16th - every even-numbered year. Kanda Festival - mid-May - every odd-numbered year);
National holiday in Japan on June 15 (in honor of William Adams [1564-1620], also known as Anjin-sama - 三浦按針, was an English navigator, became a samurai. It is believed that he was the first Englishman to live in Japan)