1609
1623
Venus and Adonis was the first poem Shakespeare published, in 1593. Nobody knows how many sonnets he had written by then.
It was originally called "Shakespeare's Sonnets" and was first published in 1609. It has since been reprinted many times, sometimes under the same title, and sometimes as part of a "Collected Works" anthology.
1609
the first folio
Shakespeare's first published work was Venus and Adonis in 1593. His other long poem The Rape of Lucrece was published the next year. About half of the plays were published individually over the years. In 1609 the Sonnets were published. In 1623 the First Folio, the first collection of Shakespeare's plays, was first published. Many of his plays were published for the first time at that time.
It's called the First Folio, but it is only his collected plays. It does not include his poetry.
Venus and Adonis, which was published in 1593.
Both Titus Andronicus and Henry VI Part II were published in 1594.
Shakespeare's Sonnets were first published in 1609, by the London printer Thomas Thorpe. Sonnets 138 and 144 had appeared earlier, in the 1599 anthology The Passionate Pilgrim. The fashion for sonnets lasted from about 1580 until the very early 1600's - and for those twenty years sonnets were as cool and hip as rap is today. So by publishing in 1609, Shakespeare's sonnets had missed the boom years. But there are many references to sonnets written by Shakespeare much earlier than this (and we can see from the subject matter of many of the sonnets that they must have been written long before they were published). So it looks like Shakespeare's sonnets were originally passed round by hand, and only published as an afterthought (after Shakespeare had already become the most famous living playwright).
It is generally known as The First Folio, rather than the name on its title page: "Mr William Shakespeares Comedies, Histories & Tragedies Published According to the True Originall Copies." You can see why.
The First Folio was the first Collected Works edition of Shakespeare's plays; it was the work of his fellow actors John Heminges and Henry Condell, and came out in 1623, some seven years after Shakespeare's death. However, many of the plays had been published earlier. A "first edition" of Romeo and Juliet would be dated 1597.