William Shakespeare wrote around 40 plays (depending on how the Shakespeare canon is defined). Except for some of his history plays (Henry IV, Henry VI) and possibly The Merry Wives of Windsor (not a real sequel of Henry IV Part 2 but another play involving Falstaff) Shakespeare did not write any continuations or sequels to any of his own plays. Marlowe, by contrast, wrote Tamburlaine the Great as a two-part play. But what about plays by other dramatists that continue the plot of a Shakespeare play? Do any such plays exist?
(I am excluding history plays from this question; there are history plays by several contemporaries of Shakespeare that tackle the same material—often based on Holinshed's Chronicles—in a different way.)
Note that the Jacobean period ended in 1625 with the death of King James, i.e. nine years after Shakespeare's death. Although the works I am looking for may have been written during Shakespeare's lifetime, I expect that the number of such works is very low.