Must Do in Galveston If you only have one day in Galveston... Here is what we would recommend: Moody MansionBishops PalaceBryan MuseumMoody GardensThe StrandEast End Historic DistrictThe 1877 Tall Ship AlissaSt. Mary’s Cathedral & BasilicaThe Galveston Railroad MuseumNASA Explore the 1874 Guest House Nature Trip in Moody Gardens Learn History at the Naval Museum Galveston Arts Center