- 1986 Tony Award for Best Reproduction (Loot, nominee)
- 1986 Drama Desk Award for Outstanding Revival (Loot, nominee)
- 1981 Tony Award for Best Musical (42nd Street, winner)
- 1981 Drama Desk Award for Outstanding Musical (42nd Street, nominee)
- 1976 Tony Award for Best Play (Travesties, winner)
- 1976 Drama Desk Award for Outstanding Revival (Very Good Eddie, nominee)
- 1975 Tony Award for Best Musical (Mack & Mabel, nominee)
- 1973 Tony Award for Best Musical (Sugar, nominee)
- 1972 Tony Award for Best Play (Vivat! Vivat Regina!, nominee)
- 1971 Tony Award for Best Play (The Philanthropist, nominee)
- 1970 Tony Award for Best Play (Child's Play, nominee)
- 1969 Tony Award for Best Musical (Promises, Promises, nominee)
- 1968 Tony Award for Best Musical (How Now, Dow Jones, nominee)
- 1968 Tony Award for Best Musical (The Happy Time, nominee)
- 1968 Tony Award for Best Play (Rosencrantz and Guildenstern Are Dead, winner)
- 1968 Tony Award for Best Producer of a Play (Rosencrantz and Guildenstern Are Dead, winner)
- 1968 Special Tony Award (winner)
- 1967 Tony Award for Best Musical (I Do! I Do!, nominee)
- 1966 Tony Award for Best Play (Marat/Sade, winner)
- 1966 Tony Award for Best Play (Philadelphia, Here I Come!, nominee)
- 1966 Tony Award for Best Play (Inadmissible Evidence, nominee)
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- 1965 Tony Award for Best Musical (Oh, What a Lovely War!, nominee)
- 1965 Tony Award for Best Producer of a Musical (The Roar of the Greasepaint - The Smell of the Crowd, nominee)
- 1964 Tony Award for Best Musical (Hello, Dolly!, winner)
- 1964 Tony Award for Best Play (Luther, winner)
- 1964 Tony Award for Best Producer (Musical) (Hello, Dolly!, winner)
- 1963 Tony Award for Best Musical (Stop the World - I Want to Get Off, nominee)
- 1963 Tony Award for Best Musical (Oliver!, nominee)
- 1963 Tony Award for Best Producer of a Musical (Oliver!, nominee)
- 1962 Tony Award for Best Musical (Carnival, nominee)
- 1962 Tony Award for Best Producer of a Musical (Carnival, nominee)
- 1962 Tony Award for Best Producer of a Play (Ross, nominee)
- 1961 Tony Award for Best Musical (Irma La Douce, nominee)
- 1961 Tony Award for Best Musical (Do Re Mi, nominee)
- 1961 Tony Award for Best Play (Becket, winner)
- 1961 Special Tony Award (winner)
- 1960 Tony Award for Best Musical (Take Me Along, nominee)
- 1959 Tony Award for Best Musical (La Plume de Ma Tante, nominee)
- 1959 Tony Award for Best Play (Epitaph for George Dillon, nominee)
- 1958 Tony Award for Best Musical (Jamaica, nominee)
- 1958 Tony Award for Best Play (Look Back in Anger, nominee)
- 1958 Tony Award for Best Play (Romanoff and Juliet, nominee)
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