This is what we found on Wikipedia regarding the Back to the Future - The Musical (Australia):

Back to the Future: The Musical is a musical with music and lyrics by Alan Silvestri and Glen Ballard and a book by Bob Gale. It is adapted from the 1985 film Back to the Future by Robert Zemeckis and Gale. The show features original music, as well as songs featured in the film ("The Power of Love", "Earth Angel", "Johnny B. Goode" and "Back in Time").

Originally planned to première in London's West End in 2015, the year to which the film trilogy's characters traveled in Part II, a change in directors delayed the production. The musical premiered at Manchester Opera House in February 2020, ahead of a 2021 West End transfer. It starred Olly Dobson as Marty McFly and Roger Bart as "Doc" Brown, with Hugh Coles as George McFly. The production received positive reviews in London and won the Laurence Olivier Award for Best New Musical in 2022. It ran until 2026.

The musical ran on Broadway from June 2023 until January 2025. Bart and Coles reprised their roles, and Casey Likes played Marty. A North American tour began in June 2024.