1. Comedy: Shakespeare's comedies are characterized by humor, mistaken identities, and happy endings. Some of his most famous comedies include A Midsummer Night's Dream, The Taming of the Shrew, and Twelfth Night.
2. Histories: Shakespeare's histories depict the lives and reigns of English kings and queens. Some of his most famous histories include Richard III, Henry IV, Part 1, and Henry V.
3. Tragedies: Shakespeare's tragedies explore dark themes such as murder, revenge, and loss. Some of his most famous tragedies include Hamlet, King Lear, and Macbeth.
4. Romances: Shakespeare's romances are characterized by adventure, magic, and love. Some of his most famous romances include The Tempest, The Winter's Tale, and Cymbeline.
5. Problem plays: Shakespeare's problem plays are difficult to categorize, as they combine elements of comedy, history, and tragedy. Some of his most famous problem plays include Measure for Measure, Troilus and Cressida, and All's Well That Ends Well.