Eustaquio is a given name. Notable people with the name include:
Eustaquio Escandón (1862–1933), Mexican polo player in the 1900 Summer Olympics Eustaquio Ilundáin y Esteban (1862–1937), Cardinal of the Roman Catholic Church, Archbishop of Seville José Eustaquio Alves Lemos Filho (born 1993), Brazilian professional footballer Eustáquio van Lieshout, SS.CC., (1890–1943), Dutch missionary in Brazil Palhinha (Vanderlei Eustaquio de Oliveira) (born 1950), retired Brazilian football player Eustaquio Pedroso (1886 – death date unknown), Cuban baseball pitcher Eustaquio Díaz Vélez (1782–1856), Argentine military officer
See also Mauro Eustáquio (born 1993), Canadian soccer player, brother of Stephen Stephen Eustáquio (born 1996), Canadian soccer player, brother of Mauro Eustaquio Méndez Province, province in the north-western parts of the Bolivian department Tarija Eustace