The Angels had a batting champion. His name was Alex Johnson. Tales abound about his bad chemistry in the clubhouse, but he beat out Carl Yastrzemski by .0004 points in 1970 and remains to this day the only Angel to win a league batting title. His .329 average is tied for 9th place in a season all time in franchise history. His 1970 season overall was outstanding, his partial 1971 season was not, and he was traded after the season ended.
Alex was a Post-2005 Top 100 Angel, you can read a little bit more about him at that link.