If you mean by "major plays" the ones which are studied in your school, check your school's curriculum. For many people, these are the only plays by Shakespeare they know by name.
If you mean the plays that are most often performed, quoted and filmed, there are way more than three. Certainly many of Shakespeare's 38 plays are rarely talked about. The plays best known are the histories Henry V, Richard III and Henry IV Part 1, the comedies As You Like It, Much Ado About Nothing, The Taming of the Shrew, A Midsummer Night's Dream, Twelfth Night, The Merchant of Venice and The Tempest, and the tragedies Hamlet, Othello, Macbeth, Julius Caesar, Romeo and Juliet and King Lear.
Shakespeare wrote at least 37 plays including: All's Well That Ends Well, As You Like It, Cymbeline, The Comedy of Errors, Love's Labour's Lost, Measure for Measure, The Merchant of Venice, The Merry Wives of Windsor, A Midsummer Night's Dream, Much Ado About Nothing, Pericles, The Taming of the Shrew, The Tempest, Troilus and Cressida, The Two Gentlemen of Verona, Twelfth Night, The Winter's Tale, Antony and Cleopatra, Coriolanus, Hamlet, Julius Caesar, King Lear, Macbeth, Othello, Romeo and Juliet, Timon of Athens, Titus Andronicus, 1,2, and 3 Henry VI, 1 and 2 Henry IV, King John, Henry V, Henry VIII, Richard II and Richard III.
Any of the plays Measure for Measure, King Lear, Pericles, Othello, Timon of Athens, Macbeth, Antony and Cleopatra and All's Well that End Well could have been written in that period, and the betting is that all of them were.
It is by no means clear that the Elizabethans and Jacobeans had a concept of a "producer" as we now have it. The business end of the process of putting on plays (that is what producers do) was taken on by the partners of the company jointly, although certain people seem to have concentrated more on the business as opposed to the acting side, such as Richard Burbage's brother Cuthbert. In this sense, either Shakespeare did not produce any plays, as they were produced by a committee, or he co-produced all of the plays put on by The Chamberlain's/King's Men from 1594 to 1613, amounting to hundreds and hundreds of different plays. If what you are asking about is the plays Shakespeare wrote, do not use the word "produce" which has a specialized meaning. Ask what plays he wrote, instead.
Shakespeare did not write about plays. He wrote plays. He wrote thirty-eight of them that we know of. Some of them are more popular than others, but it is difficult to divide them into "major" and "minor" plays. The most popular plays are the histories Henry V and Richard III, the comedies As You Like It, Twelfth Night, A Midsummer Night's Dream, Much Ado About Nothing, The Tempest, The Merchant of Venice and The Taming of the Shrew, and the tragedies Hamlet, King Lear, Romeo and Juliet, Macbeth, Julius Caesar and Othello. That's fifteen.
It was Macbeth, King Lear, and one other, either Measure for Measure or Antony and Cleopatra, take your pick.
Shakespeare wrote around between thirty and thirty-six plays depending on which expert you accept and whether you include his collaborations with other playwrights as his.
blue
Hamlet, Macbeth, and Much Ado About Nothing are three examples of plays that William Shakespeare wrote.
Shakespeare wrote his plays between 1590 and 1613.
William Shakespeare wrote all the plays and sonnets, they have been saying that bard wrote them but William shakespeare fact wrote all of them.
Shakespeare wrote his plays in the rein of two monarchs, Elizabeth I and James I of England.
No William Shakespeare was not a lawyer! He wrote plays .
Hamlet, Macbeth, and Much Ado About Nothing are three examples of plays that William Shakespeare wrote.
There were exactly 63 plays that shakespeare wrote by himself
Shakespeare wrote his plays between 1590 and 1613.
They were and are the plays that Shakespeare wrote.
Shakespeare wrote 38 plays.
William Shakespeare wrote all the plays and sonnets, they have been saying that bard wrote them but William shakespeare fact wrote all of them.
Shakespeare wrote his plays in the rein of two monarchs, Elizabeth I and James I of England.
he wrote poems and wrote plays
Shakespeare wrote his plays between 1590 and 1613 approximately.
Shakespeare wrote poetry and plays.
No William Shakespeare was not a lawyer! He wrote plays .
Shakespeare