'Euro-American-themed' is a modern compound formed from the prefix 'Euro-' (from 'Europe', ultimately from Greek 'Europa'), the name 'America' (from the explorer Amerigo Vespucci, Latinized as 'Americus'), and the adjectival past-participial suffix '-themed' derived from the noun 'theme' (from Greek 'thema').

'theme' comes from Greek 'thema' via Latin 'thema' and Old/French forms before entering English as 'theme'; 'America' was formed from the Latinized personal name 'Americus' (after Amerigo Vespucci); 'Europe' comes via Latin from Greek 'Europa'. The compound 'Euro-American' is a 20th-century formation, and attaching '-themed' to form 'Euro-American-themed' is a recent productive pattern in modern English.

The elements originally referred to geographic names ('Europe', 'America') and 'theme' originally meant 'that which is set down' or 'something laid down'; over time 'theme' shifted to mean 'subject, motif, or style', and compounds like 'Euro-American-themed' acquired the adjectival sense 'influenced by or characteristic of European and American styles'.