Boyer was one of three brothers in his family to make the majors. Brother Ken, who passed away in 1982, played against Clete in the 1964 World Series. Another brother, Cloyd, was a pitcher for the Cardinals and Athletics.
Clete Boyer had a reputation as an excellent fielding third baseman, although he did not win a Gold Glove until he moved to the NL and then had to wait until 1969. Such were the problems of being a good fielder at third base in the AL at the same time as Brooks Robinson.
Boyer also played one season in Japan (1972) for the Taiyo Whales, now the Yokohama BayStars.