John Williams was greatly influenced by Gustav Holst, who is best known for his orchestral suite "The Planets." This work, composed between 1914 and 1917, consists of seven movements, each named after a different planet in the solar system and its corresponding astrological character. It has had a significant impact on the sound of film music, and Williams has cited Holst as an important influence in his own compositions, including his scores for iconic films.
The other titles you mentioned—"The Ring Cycle" is by Richard Wagner, "The Rite of Spring" is by Igor Stravinsky, and "The Four Seasons" is by Antonio Vivaldi.