You didn't need a name or number on the back of Dean Chance’s jersey to know it was him who was pitching.  After obtaining the sign from his catcher, Chance rotated his body so that his back and head were looking towards second.  It worked for him, as one year, he was considered the best on the mound.

Chance debuted in the Majors in 1961 and made the starting rotation the following season, where he was third in Rookie of the Year voting with a respectable 14-10 record with a 2.96 ERA.  Chance slipped a bit in 1963, but he came back with a monster 1964, which was so good that it earned him not only a top-twenty rank on this list but the Cy Young Award.  The right-hander led the AL in Wins (20), ERA (1.65), Shutouts (11), Innings Pitched (278.1), ERA+ (200), and FIP (2.39), with a fifth-place finish in MVP voting.

Chance could not repeat what he did in 1964 but was still solid over the next two seasons before being traded to Minnesota.  With the Angels, Chance had 74 Wins against 66 Losses with a 2.83 ERA.  The organization inducted him into their Hall of Fame in 2015.

Dubbed "K-Rod," Francisco Rodriguez established himself as a top reliever when he was a rookie and barely one at that.  

Rodriguez was called up in September of 2002, and due to injuries, he was given a vital role in the Angels' postseason, where he had 11 appearances, won five Games, and had a sub 1.000 WHIP in all three of Anaheim’s series.  The Angels won the World Series, and it is hard to imagine this happening without Rodriguez.

Proving his performance was no fluke, Rodriguez was a set-up man in 2003 before moving to the closer's role in 2004.  K-Rod was an All-Star in 2004 and would lead the American League in Saves in both 2005 & 2006.   Rodriguez went back to the All-Star Game in 2007 and 2008, with the Venezuelan recording a then-record 62 Saves.  He won the 2006 and 2008 Rolaids Reliever of the Year, and he finished in the top four in Cy Young voting three times.  Rodriguez left the Halos after the 2008 Season for the New York Mets as a Free Agent.

As an Angel, Rodriguez compiled 208 Saves with a 2.35 ERA.  

Howie Kendrick was one of the most highly touted prospects in the early 2000s, and while it can be argued that he did not live up to the hype, it can’t be disputed that his long career is the envy of most who ever made it to the Majors.

The Angels nabbed Kendrick with their 2002 First Round Pick, and he made the roster in 2006, predominantly playing at Second.  Kendrick was not a defensive star, but he was versatile and often played at First or in Leftfield when needed. Offensively, Kendrick got into a groove, never batting lower than .279 in a season and showing moderate power with at least ten Home Runs three times.  Kendrick would also make the All-Star Game in 2011.

Kendrick was traded to the cross-town Dodgers in 2015 and would later win the World Series as a member of the Washington Nationals in 2019.  As an Angel, Kendrick collected 1,204 Hits with a Batting Average of .292.

Troy Glaus was the power man of the Angels in the early 2000s, and his role in their 2002 World Series win should be forever celebrated in Southern California.

After he was chosen Third Overall in the 1998 Amateur Draft, Glaus made the Angels and was the regular Third Baseman as a sophomore, where he belted 29 Home Runs.  Over the next few years, Glaus was the top power-hitting Third Baseman in the American League, winning the Home Run Title in 2000 (47) and posting an even 1.000 OPS.  In 2000 and 2001, Glaus was both an All-Star and Silver Slugger, and although he was neither in 2002, it had to be the highlight year for Glaus in baseball.

2002 saw Glaus have 30 Home Runs (his third straight achieving that mark), but his post-season was pure electricity.  Glaus hammered seven Home Runs in the playoffs, batting .300 in every series on route to the Angels' first World Series win.  He won the World Series MVP and the Babe Ruth Award that year.

Over the next two years, Glaus missed a plethora of games but was still executing good power when he was playing.  He left the Angels to sign with Arizona after the 2004 season, and he provided them with 182 Home Runs and the vital piece to their first title.