Last year, Rhys took to stages across the country in Playing Burton, a one-man theatre show in which he portrayed his hero, Richard Burton.
The shows raised money for the Welsh National Theatre, set up by actor and philanthropist Michael Sheen to tell stories from Wales.
Rhys is now in talks about taking Playing Burton to Broadway.
“I hadn’t been on stage in 16 years, so terrifying as it was, it was one of the most gratifying things I’ve ever done within acting,” he said.
“We’re still half talking about it possibly having a small re-emergence in New York next year.
“So it definitely still has a little life, but as memories go, it will be forever one of the most cherished I have.”