What does Rika mean? Rika [ri-ka] as a name for girls is of Old German derivation, and Rika means peaceful ruler. Rika is an alternate spelling of Rickie (Old German): variant of Frederica. Associated with: peaceful, ruler (queen). Rika has 7 variants: Ricki, Ricky, Ricquie, Riki, Rikki▼, Rikky and Ryckie.