Greg is a member of the Dramatists Guild and is highly regarded for his sophisticated and uniquely entertaining plays that are also funny. His plays can be found on the New Play Exchange.

A collection of his one-act plays, entitled The Cabot Comedies: One-Act Plays featuring the First Family of the American Theater is published February 2024.

Some of his notable works include Curtain Call, which was recently performed at The Drama Workshop in Cincinnati in January 2023, directed by Greg himself. His play, Mundy Tuesday Friday, was also performed in January as a radio program by Theatrical Shenanigans in London, England and streaming worldwide.

In 2022, Rebound Production Company in London, England performed The Ten-Minute Play (with a Nice Picture of Jimmy Carter). In 2021, Curtain Call was performed by Playzoomers, a virtual theater for a nationwide audience. In 2020, Lily Blossoms, or Modern Subdivision Zoning in the Present Day, was given a staged reading through the Cincinnati Playwrights Initiative, and it was also shortlisted for The William Inge Theater Festival in 2020. Additionally, a monologue from Lily Blossoms was performed by Darkhorse Dramatists in Syracuse, New York in November 2021.

The Sequel to Citizen Kane was given a reading in March 2020 by Miami (of Ohio) University's Miami Writes program, and in November 2020, it was performed via Zoom by New City Players in Ft. Lauderdale, Florida. In October 2020, The Janus Circle was given a reading via Zoom by the Philadelphia Screenwriters performance group, and in November 2021, it was performed via Zoom by the Kentucky Playwrights Association.

In 2018, his play, The Great Stalinski, was a finalist in the Pittsburgh New Works One Act Play Festival, which was presented by the company's New Works Play Readings series. He was also a featured playwright at the Midwest Dramatists Center's Theatrical Conference in Kansas City, Missouri, and his play, Mundy Tuesday Friday, was selected as a finalist for Shakespeare in the Burg's (Middleburg, Virginia) One-Act Festival.

In 2019, Greg's play "The Ten Minute Play (with a Nice Picture of Jimmy Carter)" was selected by The Drama Workshop's Home Brew Theater Festival in Cincinnati, and he also directed a play for the festival.

As a devoted student of Noel Coward, G.B. Shaw, and George S. Kaufman, Greg draws inspiration from their work in his own writing. In addition to his plays, Greg has written a five-episode comedy television series titled "Alice Goodheart," which he has found challenging to sell. Greg also maintains a blog called "Ruminations and Ramblings," which can be found at greghatfield.com.