Team Logo. The Los Angeles Angels (1961-1965) were a team in Major League Baseball. They played in the American League. In 1966, they changed their name to the California Angels. Retrieved from "https://prosportsteams.fandom.com/wiki/Los_Angeles_Angels_(1961-1965)?oldid=13402" Categories: Former MLB teams Teams in California Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.