The oldest actor to win an Academy Award.
Anthony Hopkins for The Father (2020)
Film(s) featuring Oscar-winning performances in the four acting categories (Actor, Actress, Supporting Actor, and Supporting Actress).
None
The two films which came closest to achieving this feat are A Streetcar Named Desire (1951) and Network (1976), with three each.
Other than Chloe Zhao who won for Nomadland and Kathyrn Bigelow who won for The Hurt Locker, these are the other women who were nominated for Best Director.
Lina Wertmuller for Seven Beauties (1976), Jane Campion for The Piano (1994) and The Power of the Dog (2021), Sofia Coppola for Lost in Translation (2004), Greta Gerwig for Lady Bird (2017), Emerald Fennell for Promising Young Woman (2020)
Most Oscar nominations for acting.
Meryl Streep (21)
Most nominated films with no wins.
The Turning Point (1977) and The Color Purple (1985) - 11 nominations each
Only people to have refused to accept an Academy Award.
George C. Scott (1970, Patton) and Marlon Brando (1972, The Godfather)
Most Best Director awards.
John Ford (4): from 1935 (for The Informer), 1940 (The Grapes Of Wrath), 1941 (How Green Was My Valley) and 1952 (for The Quiet Man)
Most acting nominations without a win (8).
Peter O'Toole and Glenn Close
The shortest performance ever to win an acting Oscar.
Beatrice Straight's performance, which lasted 5 minutes and 40 seconds, in Network (1976)
Only people to have been nominated as producer, as director, as writer and as actor all in the same film.
Warren Beatty (For Heaven Can Wait in 1978 and Reds in 1981) and Orson Welles (Citizen Kane in 1941)
Only people to have won the Acting Award posthumously.
Peter Finch for Network (1976) and Heath Ledger for The Dark Knight (2008)
Most Oscar nominations for acting for an Actor.
Jack Nicholson (12)
Only films to have won Best Picture, Best Director, Best Actor, Best Actress, and Best Screenplay, a feat which is known as winning the 'Big Five' or the Oscar 'Grand Slam.'
It Happened One Night (1934), One Flew Over the Cuckoo's Nest (1975), and The Silence of the Lambs (1991)
The oldest woman to win an acting Oscar.
Jessica Tandy (age 80) for Driving Miss Daisy (1989)
The only person to win more than three acting Oscars.
Katherine Hepburn. She won four Best Leading Actress awards for: Morning Glory (1932/33), Guess Who's Coming To Dinner (1967), The Lion in Winter (1968), and On Golden Pond (1981). The following people have each won exactly three acting Oscars: Ingrid Bergman, Walter Brennan, Jack Nicholson, Daniel Day-Lewis, Frances McDormand
Most nominated films.
All About Eve (1950) and Titanic (1997), both with 14 nominations. All About Eve won 6 awards, and Titanic won 11 awards
Distinction of having the most Oscar awards of any film without winning Best Picture.
Cabaret (1972)
Most wins for a film (11).
Ben-Hur (1959), Titanic (1997), and The Return of the King (2003)
Most nominations without a Best Picture nomination.
They Shoot Horses, Don't They? (1969) with 9 nominations
Only people to have been awarded both an Oscar and a Nobel Prize.
G.B. Shaw and Bob Dylan
(note that Al Gore did not receive the award for An Inconvenient Truth)
The youngest person ever to be awarded an Oscar.
Shirley Temple Black (age 6), who was awarded the inaugural (now retired) non-competitive Academy Juvenile Award in 1934
Oldest recipient of any Oscar.
Groucho Mark (Honorary Award in 1973 when he was 83 years old)
Other than Walt Disney, these are the other two people to be nominated in six categories. One of them is part of the "Three Amigos" of Mexico and the other is a major A-List actor.
Alfonso Cuarón and George Clooney
Holds the record for receiving as well as being nominated for the most Academy Awards.
Walt Disney. He won 22 competitive awards and received four honorary awards. He was also nominated for 59 Academy Awards during his lifetime
The youngest person ever to win an acting Oscar.
Tatum O'Neal (age 10) for Paper Moon (1973)
Only film to have won in every category of nomination.
The Return of the King (2003)
The first (and only) G-rated film to win the Best Picture Oscar.
Oliver! (1968)
Only actors ever to achieve the Best Actor award two years in succession.
Spencer Tracy (in 1937 and 1938, for Captains Courageous and Boys Town) and Tom Hanks in (1993 and 1994 for Philadelphia and Forrest Gump)
These two modern heartthrobs, both part of a group in a certain heist film, are the only people to win for Best Picture (as producers) and Best Supporting Actor.
George Clooney (supporting actor - Syriana, producer - Argo); Brad Pitt (supporting actor - Once Upon a Time in Hollywood, producer - The Departed and 12 Years a Slave)