I agree, the banana chips are great. On our last trip, I feel in love with St. Mary's Sweet Potato Chips. Rough Tops, especially the coconut ones are a favorite. Though I don't know that they are strichtly Jamaican, I have a weakness for pretty much all the Holiday brand cheese snacks (similar to cheetos) - Chili Sticks, Big Foots, Cheese Balls - they have all satisfied late night cravings at some point.
We were staying not far from Shamrocks on the beach road last trip. Every evening we would stop in for a couple of Stripes, a bottle of their orange juice (liquid sunshine in a glass) for the next morning and a few snacks.
I really like that the Jamaican snacks come in small packages - just enough to satisfy the craving without going overboard. The local snacks were also really budget friendly, especially versus the imported stuff. If you have some snack food from home you just have to have, it would probably be much cheaper to bring them along.