Croatia: Got Recommendations?

An alleyway in the old city of Korčula, photographed by Tona & Yo

Maxence and I are about to leave for a vacation in Croatia; the plan is to drive down the Dalmatian coast from Split to Dubrovnik, and chill for a few days on the island of Korčula.

If you've been to Croatia before and have food or drink recommendations to share -- specialties we should try, restaurants we must visit, ingredients we can bring back -- I would very much like to hear them!