The Alcudia market runs on Tuesdays and Sundays, spreading through the streets of the old town and spilling out beyond the walls. It's one of the larger markets in the north of the island, drawing visitors from a wide area and functioning as much as a social event for locals as a shopping destination for tourists.
The stalls cover the usual market range: fruit and vegetables, cheese, charcuterie, olives, and local wine alongside clothing, leather goods, ceramics, and souvenirs of varying quality. The food section is the most worthwhile — the chance to pick up good olive oil, local almonds, or sobrassada (the soft, spreadable Mallorcan sausage) is genuinely useful if you're staying in self-catering accommodation. The produce is largely local and seasonal.
The market gets busy mid-morning and the streets of the old town can feel genuinely crowded. Go early if you want to move freely and get first choice of the food stalls. The market typically runs from about 9am to 2pm, and outside the walls along the main road the stalls are often larger and more commercial than those inside. Parking is difficult on market days; the town fills up.