We love Rockport. We've been going there every year, at least once a year, always staying at The Lighthouse Inn. The hotel is practically on the water. The views on the Bay of Aransas are stunning. The dolphins come daily very close to the shore, we see a Blue Heron and a Great Egret checking the fishing port next door.
We also loved the food they served in their own restaurant, but there is also a great seafood restaurant, Charlotte Plumbers, within a walking distance, and a few authentic, great Mexican food restaurants (Jalisco was our favorite) nearby.