The Los Angeles Angels of Anaheim picture shown here is the script logo for this baseball organization. This is sometimes referred to as the "Angels in red and blue" version. This Major League Baseball logo was used as the script logo of the Los Angeles Angels of Anaheim from 2005 through present. The franchise began as the Los Angeles Angels in 1961, following that, they switched to the California Angels in 1965 before becoming the Anaheim Angels in 1997. Following that they changed their name to the Los Angeles Angels of Anaheim in 2005.