Williams has composed music for four Olympic Games:
"Olympic Fanfare and Theme" – 1984 Summer Olympics, Los Angeles
Written specifically for the opening ceremonies. In a 1996 re-release, the opening trumpet fanfare was replaced with Bugler's Dream, a previous Olympic Theme written by Leo Arnaud. This recording has been used as the theme for NBC's Olympic coverage ever since.
"The Olympic Spirit" – 1988 Summer Olympics, Seoul
Commissioned by NBC Sports for their television coverage.
"Summon the Heroes" – 1996 Summer Olympics, Atlanta, Georgia
Written in commemoration of the Centennial of the Modern Olympic Games. Premiering on July 19, 1996, the piece features heavy use of the brass and wind sections and is approximately six minutes in length. (Principal Boston Pops trumpeter Timothy Morrison played the opening solo on the album recording.) It has been arranged for various types of ensembles, including wind ensembles. This theme is now used prevalently by NBC for intros and outros to commercial breaks of the Olympics.
"Call of the Champions" – 2002 Winter Olympics, Salt Lake City, Utah