Actor-Managers took on the responsibility of both acting in and overseeing productions as directors and producers through to the late 1800s/ early 1900s. An example of a contemporary
Actor-Manager is
Samuel Beckett
John Wilkes Booth
Julie Taymor
Orson Welles

Orson Welles

Explanation:

Considering the definition of an Actor-Manager as someone who took on the responsibility of both acting in and overseeing productions as directors and producers, it is only Orson Welles that fits that description.

Orson Welles was widely known as a combined expert in acting, directing, writing, and producing movies. He was popular for his radio anthology series titled "The Mercury Theatre on the Air."

He also acted as Charles Foster Kane in a movie titled Citizen Kane in 1941. Asides from taking a lead role in the movie, he also co-wrote, produced, and directed the movie.

Julie Taymor is only a writer and a director, so she's not the correct answer

John Wilkes Booth is only a stage actor, hence, he's not the answer.

Samuel Beckett is also only a writer and theatre director, so he's not the answer