Recipe by the ambassador for Olives from Spain José Pizarro. Spain is the largest producer of olives in the world. The four main varieties of Spanish table olive available from major supermarkets in the UK are: Manzanilla, Gordal, Hojiblanca and Cacereña. Spanish table olives can be served in a different number of ways including: whole, pitted, stuffed. It is a healthly, seasonal ingredient, with the Spanish olive harvest running from September-March.