1900s – Gem of the Ocean (2003)

1910s – Joe Turner’s Come and Gone (1984)

1920s – Ma Rainey’s Black Bottom (1982) – set in Chicago

1930s – The Piano Lesson (1989) – Pulitzer Prize

1940s – Seven Guitars (1995)

1950s – Fences (1985) – Pulitzer Prize

1960s – Two Trains Running (1990)

1970s – Jitney (1983)

1980s – King Hedley II (2001)

1990s – Radio Golf (2005)

Tennessee Williams:

The Glass Menagerie (1944)

A Streetcar Named Desire (1947)

Summer and Smoke (1948, reworked in 1964 as The Eccentricities of a Nightingale)

The Rose Tattoo (1951)

Camino Real (1953)

Cat On a Hot Tin Roof (1955)

Suddenly, Last Summer (1958)

Sweet Bird of Youth (1959)

Period of Adjustment (1960)

The Night of the Iguana (1961)

Arthur Miller

Death of a Salesman (play, 1949)

An Enemy of the People (play, 1950, based on Henrik Ibsen play An Enemy of the People)

The Crucible (play, 1953)

A View from the Bridge (play, 1955)

A Memory of Two Mondays

There are so many, but this can get you started…yahoo American Play writers.