He certainly met other people in the theatrical community of his time, people like Christopher Marlowe and Ben Jonson. Other than them we don't know. Shakespeare did not keep a diary, and nobody else thought he was significant enough at the time to write him up in their diaries.
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Shakespeare was well-respected as an author in his lifetime. There were, of course, other well-respected authors at the time, lots of them.
The USA did not exist as such during Shakespeare's lifetime so there was no president of the USA. England/UK has never had a president, and during Shakespeare's lifetime there was no such position as prime minister.
The moon
There was a lot of play.
jumping of walls
The two monarchs on the throne during the lifetime of William Shakespeare (c1564 - 1616), were Queen Elizabeth I (1533 - 1603) and King James I (1566 - 1625).
Season 3, episode 2, "The Shakespeare Code".
The plague
Muskets, cannons, swords.
Elizabeth 1
fur trade