Well, making a list of the most famous actors and actresses is something nearly impossible.

Below you have a small selection of some of the best.

MOVIE ICONS


ROBERT REDFORD

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Robert Redford  (born 1936),  is an American actor, director, producer, businessman, environmentalist, and philanthropist. He is the founder of the Sundance Film Festival. He won the Academy Award for Best Director in 1981 for directing Ordinary People; he was previously nominated Best Actor in 1974 for his performance in The Sting and went on to receive Best Director and Best Picture nominations in 1995 for Quiz Show. He won a second Academy Award for Lifetime Achievement Achievement in 2002. In 2010, he was made a chevalier of the Légion d'Honneur. Redford has also won BAFTA, Directors Guild of America, Golden Globe and Screen Actors Guild Awards.

He starred in Butch Cassidy and the Sundance Kid (1969), which was a huge success and made him a major star. In 1972, he had a critical and box office hit with Jeremiah Johnson (1972), and in 1973 had the biggest hit of his career, the blockbuster crime caper The Sting, for which he was also nominated for an Academy Award. The popular and acclaimed All the President's Men (1976) was a landmark film for Redford.
The first film he directed, Ordinary People (1980), was one of the most critically and publicly acclaimed films of the decade, winning four Oscars. Redford starred in Out of Africa (1985), which was an enormous critical and box office success and won seven Oscars including Best Picture, proving to be Redford's biggest success of the decade.  In April 2014, Time magazine included Redford in its annual TIME 100 as one of the "Most Influential People in the World", declaring him the "Godfather of Indie Film".

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Paul Newman (1925 – 2008) was an American actor, film director, entrepreneur, professional racing driver and team owner, environmentalist, activist and philanthropist. He won numerous awards, including an Academy Award for his performance in the 1986 film The Color of Money, a BAFTA Award, a Screen Actors Guild Award, a Cannes Film Festival Award, an Emmy Award, and many honorary awards. 
Newman starred in Exodus (1960), The Hustler (1961), Hud (1963), Harper (1966), Hombre (1967), Cool Hand Luke (1967), The Towering Inferno (1974), Slap Shot (1977), and The Verdict (1982). He teamed with fellow actor Robert Redford and director George Roy Hill for Butch Cassidy and the Sundance Kid (1969) and The Sting (1973).
Newman was married to actress Joanne Woodward from 1958 until his death. He was a co-founder of Newman's Own, a food company from which Newman donated all post-tax profits and royalties to charity.As of 31 December 2014, these donations totaled US$429.3 million.

MARILYN MONROE

Marilyn Monroe (1926 – 1962) was an American actress and model. Famous for playing "dumb blonde" characters, she became one of the most popular sex symbols of the 1950s, emblematic of the era's attitudes towards sexuality. Although she was a top-billed actress for only a decade, her films grossed $200 million by the time of her unexpected death in 1962. She continues to be considered a major popular culture icon.
Monroe in 1952In the fifties, she became a popular actress with roles in several comedies, including  Monkey Business, and in the dramas Clash by Night and Don't Bother to Knock
By 1953, Monroe was one of the most bankable Hollywood stars, with leading roles in three films: the noir Niagara, which focused on her sex appeal, and the comedies Gentlemen Prefer Blondes and How to Marry a Millionaire, which established her star image as a "dumb blonde". She was disappointed at being typecast and underpaid by the studio. She had one of the biggest box office successes of her career, The Seven Year Itch (1955). After a critically acclaimed performance in Bus Stop (1956), she won a Golden Globe for Best Actress for Some Like It Hot (1959). Her last completed film was the drama The Misfits (1961).
Monroe's troubled private life received much attention. She struggled with addiction, depression, and anxiety. She had two highly publicized marriages, to baseball player Joe DiMaggio and playwright Arthur Miller, which both ended in divorce. She died at the age of 36 from an overdose of barbiturates  at her home in Los Angeles in 1962.
MARLON BRANDO


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Marlon Brando (1924 – 2004) was an American actor, film director, and activist. He is credited with bringing a gripping realism to film acting, and is often cited as one of the greatest and most influential actors of all time. He helped to popularize the Stanislavski system of acting, today more commonly referred to as method acting. Brando is most famous for his Academy Award-winning performances as Terry Malloy in On the Waterfront (1954) and Vito Corleone in The Godfather (1972) a role critics consider among his greatest. The Godfather was then one of the most commercially successful films of all time. There are also influential performances in A Streetcar Named Desire (1951), Viva Zapata! (1952), Julius Caesar (1953), The Wild One(1953), Reflections in a Golden Eye (1967), Last Tango in Paris (1972), and Apocalypse Now (1979). Brando was also an activist for many causes, notably the African-American Civil Rights Movement and various Native American movements.
Brando was ranked by the American Film Institute as the fourth-greatest movie star among male movie stars whose screen debuts occurred in or before 1950. He was one of only three professional actors, along with Charlie Chaplin and Marilyn Monroe, named in 1999 by Time magazine as one of its 100 Most Important People of the Century.