- Divorce from Dory Previn dragged on for two years after he started dating Farrow in 1968.
- Appeared as a willing stooge on The Morecambe & Wise Show (1968) where he was called Andrew Preview.
- Father of 10 children. Two daughters with Betty Bennett, Claudia Previn (born June 24, 1954) and Alicia Previn (born February 11, 1957). He and Mia Farrow had three sons, fraternal twins Matthew and Sascha (born February 26, 1970) and Fletcher Previn (born March 14, 1974), and adopted three daughters, Soon-Yi Previn (born October 8, 1970), Lark Previn (February 15, 1973 - December 25, 2008) and Daisy Previn (born October 6, 1974). His son with Heather Hales, Lukas Previn, was born on October 28, 1983. He adopted Heather's daughter from a previous marriage, Li-An Mary (born January 12, 1974).
- He was made an honorary Knight of the Order of the British Empire (KBE) in 1996 for his services to music.
- Father-in-law of Woody Allen. He is married to Previn's daughter Soon-Yi Previn. Allen was also in a long-term relationship with Previn's ex-wife Mia Farrow.
- Was portrayed by Robert LuPone in Love and Betrayal: The Mia Farrow Story (1995).
- Was nominated for Broadway's 1970 Tony Award for his music as part of a Best Musical nomination for "Coco."
- Chief conductor of the Oslo Philharmonic (Oslo, Norway). (2004)
- He was the son of Charlotte (Epstein) and Jacob Priwin, both German Jews. Brother of Steve Previn. His father's cousin is Charles Previn.
- During the 71st EMMY Awards' 'In Memoriam' segment, conductor Leonard Slatkin's image was erroneously screened instead of Previn's. (September 22, 2019)
- Former son-in-law of John Farrow and Maureen O'Sullivan. Ex-brother-in-law of Patrick Farrow, John Charles Farrow, Prudence Farrow, Stephanie Farrow, Tisa Farrow and Ava Roosevelt.
- He also enjoyed a warm relationship with the Vienna Philharmonic.
- He served as music director of the Houston Symphony Orchestra (1967-1969), principal conductor of the London Symphony Orchestra (1968-1979), music director of the Pittsburgh Symphony Orchestra (1976-1984), of the Los Angeles Philharmonic (1985-1989), chief conductor of the Royal Philharmonic (1985-1992), and, after an avowed break from salaried posts, chief conductor of the Oslo Philharmonic (2002-2006).
- Before the age of twenty, Previn began arranging and composing for Metro-Goldwyn-Mayer.
- He won Grammy Awards as well, ten of them, for recordings in all three areas of his career, and then one more, for lifetime achievement.
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