Explore Popular Brownsville, TX Attractions Gladys Porter Zoo - 5 minutes away Children’s Museum of Brownsville - 5 minutes away Brownsville Museum of Fine Art - 5 minutes away Camille Playhouse - 5 minutes away Historic Brownsville Museum - 6 minutes away Old City Cemetery - 6 minutes away Brownsville Convention & Visitors Bureau - 7 minutes away Stillman House Museum - 8 minutes away 77 Flea Market - 11 minutes away Sunrise Mall - 14 minutes away Palo Alto Battlefield National Historical Park - 16 minutes away Sabal Palm Sanctuary - 16 minutes away Resaca de la Palma State Park - 17 minutes away Palmito Ranch Battlefield - 22 minutes away Boca Chica State Park - 26 minutes away