The California Angels were no powerhouse in the 1960s, and bluntly, they were pretty bad.  However, if there were a team MVP for the decade, it would have to be Shortstop, Jim Fregosi.

Before he reached the Majors with the Angels, he was in the Red Sox system.  The Angels took him in the expansion draft, and he was on the main roster in 1961 and a regular at short by 1963.  Named to six All-Stars, including five consecutive (1966-70), Fregosi was an excellent hitting infielder for his day, showing occasional power (four years with double-digits in Hone Runs). He had at least 140 Hits annually from 1963 to 1970.  In all of those years, he was considered valuable enough to where he received MVP votes, peaking in 1967 with a seventh-place tally on the strength of a Gold Glove, 171 Hits, and a .290 Batting Average.

The New York Mets traded for Fregosi after the 1971 season, but he wasn’t the same player.  The Mets loss was California’s gain, as Nolan Ryan was one of the players they landed.  With the Angels, Fregosi had 1,408 Hits, 115 Home Runs with a .268 Batting Average.

Fregosi would later manage the Angels from 1978 to 1981, and in 1989, he became the second player inducted into the Angels Hall of Fame.  Nearly a decade later, Fregosi’s number 11 was retired by the team.

Winning both the Golden Spikes Award and Dick Howser Trophy at Long Beach State in 2004, Jered Weaver was the 12^th Overall Pick in that year's Amateur Draft, debuting two years for the Los Angeles Angels of Anaheim, the team that took him.  High expectations were on Weaver, and he did well, warning his spot in the rotation and finishing fifth in American League Rookie of the Year voting.  

Weaver’s best seasons were between 2010 and 2012, where he went to three straight All-Star Games.  Leading the AL in Strikeouts (233) in 2010, Weaver had fewer Ks in 2011, but his ERA dropped to 2.41, and his WHIP was stellar at 1.010.  Weaver, who was fifth in Cy Young voting in 2010, was second in 2011 and would be third in 2012 where he was first in the league in Wins (20), WHIP (1.018), and H/9 (7.0).  

Weaver was still a good Pitcher, leading the AL in Wins in 2014 (18), but he slumped in 2015, with a bloated ERA of 4.64, which got worse in 2016 (5.05).  He joined San Diego as a Free Agent in 2017 but only pitched nine Games before retiring.

The overall Angels record of Weaver is a good one; 150-93 with 1,596 Strikeouts.  

Frank Tanana would be on the first ballot if there were a Hall of Fame for underrated Pitchers.

Tanana played the first eight years of his 21 with the California Angels, and if you were paying attention, you were seeing one of the best hurlers in the American League.  The southpaw was easy to overlook, as the Angels were only in the playoffs once when Tanana was there (1979), and he was on the same staff as Nolan Ryan, so ace status was not bestowed upon him.  

Debuting in 1973, Tanana was in the rotation the following year, going 14-19, but despite the losing record, he had 180 Strikeouts with a decent 3.12 ERA.  Tanana then had three great years, where he was in the top-nine in Cy Young voting, and kept his ERA well under three, including winning the ERA title in 1977 (2.54) and also leading the AL in bWAR for Pitchers (8.3).  In the two years before, Tanana also had a bWAR over seven, was first in SO/BB, and had a Strikeouts Title (280 in 1975).  With what we know of today’s advanced metrics, it is possible that Tanana should have captured the Cy Young, but he was ninth, distantly behind Sparky Lyle of New York.

Tanana's last few years were plagued with tendinitis, and his pitching suffered, but he was still a competent starter and helped California reach their first playoffs in 1978.  He was dealt to the Red Sox before the 1981 season, leaving the Angels with a 102-78 record with 1,233 Strikeouts.

Chuck Finley played most of his career with the Angels, beginning from being a First Round January Secondary Draft choice in 1985.  

The southpaw first made the Angels roster in 1986, and he came out of the bullpen for his first two years before becoming a part of California's roster in 1988.  Finley did not do well in his first year, but he was an All-Star the next two years with ERAs under 2.60 and at least 150 Strikeouts.

Finley would struggle in 1992, but he returned to ace status with the Angels, going to two more All-Star Games (1995 & 1996) and winning at least 10 Games from 1993 to 1999.  

Finley left the Angels when he signed with Cleveland as a Free Agent after the 1999 Season, and with the Halos, he had a 165-140 record with 2,151 Strikeouts.  He is, as of this writing, the all-time franchise leader in Wins and Innings Pitched (2,675) and is second in Strikeouts.

In 2009, Finley was inducted into the Angels' Hall of Fame.