Eustachios \e(u)-sta-chios\ as a boy's name is a variant of Eustace (Greek), and the meaning of Eustachios is "good grapes; to stand".
The baby name Eustachios sounds like Eustachius, Eustaquio, Eustachy and Eustache. Other similar baby names are Eustazio, Eustatius and Eustasius.