There are a lot of mysteries surrounding Shakespeare and one of them is that we are not entirely sure when Shakespeare first made his name on the stage. We know by records that sometime between 1585 and 1592, Shakespeare was reaping his success as an actor, playwright, and part-owner of the The Chamberlain's Men (an acting company). Many of his plays were being performed by 1592 by which time he was at least well know enough to be written about. By 1595, we know that he was a leading member of his the company which was later renamed "The King's Men." He continued to act even after he became a celebrated dramtist/playwright by 1598, often taking roles as old men and kings.
Between plagues that closed theaters from 1603-1610 and the burning of the Globe theater in 1613, Shakespeare's career in London fizzled out and he returned to his original home in Stratford-upon-Avon around 1613 where he remained until his death in 1616.