There are many producers of local Tuscan food and wine in the local area and trips to some of these can be arranged where you can see how these artisans make their produce and try some of the delicious regional specialities.
probably the best takeaway pizza in lucca. the pizza is sold by the weight and good value for money. you may have to wait a bit in the queue as its popular but worth it
try out the cecina(chick pea pancake).