We are in Port Aransas. It would be a mistake to miss it. The City Marina is right at the base of the jetties to the Gulf, and at the Lydia Ann (alternate ICW) junction with the Corpus Christi ship channel. Transient slips, clean showers, walk to restaurants (longish to some, but not bad).
Other great places we've been or heard of:
Port O'Connor, The Sanctuary. Beautiful marina.
Port O'Connor, Army Hole on Matagorda Island. Really
remote, very safe, and very cool. State Park.
Ingleside Cove - near the split from the Corpus Christ ship channel, and the La Quinta channel that goes to
Portland. Where the big cranes are. Ingleside is generally considered the best anchorage on the
Texas Coast.
Mud Island, near San Jose Island, across from Rockport. Good anchorage unless a norther comes thru.