Below is the list of the most-produced plays compiled by American Theatre Magazine of member theaters of Theatre Communications Group (in other words, non-profit theaters throughout the United States) — excluding Shakespeare’s plays and A Christmas Carol, (which are always first.)

Fun Home, Off Broadway, with Sydney Lucas and Michael Servers.

Shakespeare in Love at The Oregon Shakespeare Festival. This stage adaptation of the movie will be the most produced play in TCG theaters in the U.S. in the 2017-2018, according to American Theatre Magazine — everywhere but New York City.

Skeleton Crew, Off Broadway, with Jason Dirden and Nikiya Mathis

Curious Incident of the Dog in the Night-Time, on Broadway

Marjorie Prime, Off Broadway, with Lois Smith and Noah Bean

The Humans, Off-Broadway, with Sarah Steele, Arian Moayed, and Jayne Houdyshell

A Raisin in the Sun. on Broadway, with Denzel Washington and Sophie Okonedo

Heisenberg, on Broadway, with Denis Arndt and Mary-Louise Parker

Miss Bennet Christmas at Pamberley with Erik Hellman and Aila Peck, Northlight Theatre production

Sense and Sensibility, Andrus Nichols, Vaishnavi Sharma, Kate Hamill and Samantha Steinmetz, Bedlam Theater Company’s production

The links are to my reviews of New York productions.

1. Shakespeare in Love, adapted for the stage by Lee Hall, based on the screenplay by Marc Norman and Tom Stoppard:
2. Fun Home, adapted by Lisa Kron, based on the graphic novel by Alison Bechdel, lyrics by Kron, and music by Jeanine Tesori:
3. Skeleton Crew by Dominique Morisseau:
4. The Curious Incident of the Dog in the Night-Time, adapted by Simon Stephens from the novel by Mark Haddon
5. Marjorie Prime by Jordan Harrison
6. The Humans by Stephen Karam
7. A Raisin in the Sun by Lorraine Hansberry
8. Heisenberg by Simon Stephens
9. Miss Bennet: Christmas at Pemberley by Lauren Gunderson and Margot Melcon:
10. Sense and Sensibility 
    adapted by Kate Hamill from Jane Austen:
    adapted by Emma Whipday and Brian McMahon:

Here are the most produced playwrights (again not including Shakespeare):

1. Lauren Gunderson
2. Simon Stephens
3. Lee Hall
4. Lisa Kron
5. Dominique Morisseau
6. Arthur Miller
7. Ayad Akhtar
8. Quiara Alegría Hudes
9. Jordan Harrison
10. Ken Ludwig
11. Tennessee Williams
12. August Wilson
13. Branden Jacobs-Jenkins
14. Kate Hamill
15. Lucas Hnath
16. Aaron Posner
17. Eugene O’Neill
18. Lorraine Hansberry
19. Mark St. Germain:
20. Oscar Wilde

Methodology from American Theatre: “This year American Theatre received a total of 380 season submissions from TCG member theatres, which is made up of some of the largest non-profit theatres in the country. From a total of 2,270 production entries they submitted, we excluded any readings and workshops, only counting full productions with at least a week’s worth of performances, for a final tally that numbered 1,917.”