Which among the following is not a play written by Eugene O’Neill?

The correct option is The Plough and the Stars.

To find the correct option, let's look at the authorship of each of the plays listed in the options:
1. Anna Christie: This is a four-act play written by the American dramatist Eugene O'Neill in 1921, which won him the Pulitzer Prize for Drama in 1922.
2. Strange Interlude: This is another highly acclaimed play written by Eugene O'Neill in 1928, which also won the Pulitzer Prize for Drama.
3. All God's Chillum Got Wings: This is an expressionist play written by Eugene O'Neill in 1924, exploring themes of racial relations in America.
4. The Plough and the Stars: This is a famous play written by the prominent Irish playwright Seán O'Casey, first performed in 1926 at the Abbey Theatre in Dublin.

Because The Plough and the Stars was written by Seán O'Casey and not Eugene O'Neill, it is the play that does not belong to O'Neill's body of work.