Short answer
Traditional Azorean souvenirs include local cheeses (especially from São Jorge), pineapple liqueur, tea from Gorreana or Porto Formoso, ceramics, and hand-embroidered linen. Also look for whalebone carvings, wicker baskets, and Azorean honey. For authenticity, buy from local markets or producer shops rather than generic tourist stores. Prices vary by island and season, so compare before purchasing.
General information, not legal or tax advice. Rules and amounts change: confirm with official sources.