The three members of the Wrecking Crew in the video are the following.
Al DeLory on tack piano. He is best known for producing Glen Campbell's 60's hits Galveston,By The Time I Get To Phoenix and Gentle On My Mind.
Lyle Ritz on upright bass. He played on hundreds of songs and was the stand-in on the ukulele for Steve Martin in the movie The Jerk.
Hal Blaine on drums. Played on over 40 songs that hit #1 on the Billboard hot 100 and country charts. Was the drummer on the six consecutive songs that won the Grammy for Record Of The Year from 1965 to 1970 and the drummer on Brian Wilson's favorite song Be My Baby by The Ronettes.
Many other Wrecking Crew members played on Good Vibrations as well:
Carol Kaye on bass guitar. She will be inducted into the Rock 'N Roll hall of fame later this year,
Plas Johnson on piccolo and clarinet. He is best known for playing the sax solo on The Pink Panther Theme by Henry Mancini. Kaye and Johnson are still with us.