Sunrise Beach Village is a city in Llano County, Texas, United States. The village was established in 1973. The population was 739 at the 2020 …Sunrise Beach Village is a city in Llano County, Texas, United States. The village was established in 1973. The population was 739 at the 2020 census. Sunrise Beach Village is located on the southern shore of Lake Lyndon B. Johnson, 43 miles west of Austin.