"Side dish" usually refers to something you eat in addition to your main dish. English makes do with general terms like 'finger-food' [=food that you don't need cutlery to eat] for drinks that go with alcohol, or 'savouries' (as such food is never sweet). Informally, people use the word 'nibbles': 'We won't be serving a sit-down meal, but there'll be plenty of nibbles'.
English is increasingly borrowing the Spanish word tapas.
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