The Carmel Mission Basilica Museum, also known as the Basilica of San Carlos Borromeo de Carmelo Mission, is located in Carmel-By-The-Sea, California. It is one of the most famous and historically significant missions in California. The mission was founded by Father JunÃpero Serra on June 3, 1770. It is the second mission in California and is often referred to as Carmel Mission.