AFC League City, TX has walk-in options to meet your immediate healthcare needs including urgent care, lab testing, and vaccinations. We Can Help Your Family Live Life, Uninterrupted. If you’re in need of medical care for an illness or injury that’s not life-threatening, look no further than American Family Care®. We offer urgent care in the League City, TX area for patients of all ages. Our medical team is staffed with medical professionals that are dedicated to ensuring your health and overall well-being.