Do you mean which play was first or which play was the best of all the Shakespeare plays which were performed at the Globe? If the latter, it is really just a matter of opinion. If the former, a lot of people think the first play to play at the Globe was Julius Caesar.
Well, the owners of the Globe, of course.
The Globe Theatre
At the Globe Theatre
All seasons.
Julius Caesar
Which Globe Theatre are you talking about? We know it was performed at least once at the first Globe in London, in April of 1610.
Traditionally it's thought to be Julius Caesar.
The Tradagdy of Julius Ceasar
The audience
The last play performed at the Globe theater was in 1613. It was a play by Shakespeare called Henry Vlll.
The only thing controversial about the Globe Theatre or about Shakespeare for that matter is that the Earl of Essex, prior to his attempted coup d'etat in 1601, commissioned a performance of Shakespeare's play Richard II to be performed at the Globe by the Lord Chamberlain's Men. Essex thought it would encourage people to support his coup. It didn't.