| Show Title | Synopsis | Category |
| Henry, Sweet Henry | 'Henry, Sweet Henry' concerns two love-struck and wealthy teenage girls, Valerie and Gil, wh... | musical |
| Here's Love | ‘Here’s Love’ tells the classic tale of Kris Kringle, a fat, white-bearded gentlem... | musical |
| L'Heure Espagnole | L'Heure Espagnole takes place in an eighteenth century clock shop in Toledo, Spain. The clock-maker... | opera |
| High Button Shoes | Harrison Floy, a small-time con artist, manages to scam an entire town in a land promotion deal. Aft... | musical |
| High Fidelity | The show follows the adventures of Rob, a record store owner who knows almost everything there is to... | musical |
| High School Musical | Disney’s High School Musical focuses on a high school jock, Troy, and a nerd, Gabriella, who, whil... | musical |
| High Society | Tracy Lord is ecstatic about her impending marriage to George Kittredge, a successful industrialist.... | musical |
| High Spirits | After the writer Charles Condomine hires a woman who can communicate with spirits, all hell breaks l... | musical |
| Hippolytus | ... | play |
| The History Boys | ... | play |
| Hit the Deck | The story concerns Loulou, the owner of a Newport coffee house, and her quest to convince her lover,... | musical |
| The Homecoming | ... | play |
| Honk! | Based on Hans Christian Andersen's "The Ugly Duckling", “Honk!” tells the story of an odd lookin... | musical |
| Honk! Junior | Based on Hans Christian Andersen's "The Ugly Duckling", “Honk!” tells the story of an odd lookin... | musical |
| Hot Mikado | Hot Mikado takes the classic Gilbert and Sullivan tale and updates it to 1940s-style. Young Nanki-P... | musical |
| House of Flowers | ‘House of Flowers’ is the story of an evil brothel owner, Madame Fleur, and her attempts to murd... | musical |
| How I Learned to Drive | ... | play |
| How Now, Dow Jones | Kate’s fiancé, Herbert, won’t marry her until the Down Jones average his 1000. S... | musical |
| How to Succeed in Business Without Really Trying | How to Succeed in Business Without Really Trying is as story about the triumph of the common man. T... | musical |
| Les Huguenots | The plot of the opera culminates in the historical St. Bartholomew's Day Massacre in 1572 in which t... | opera |
| I Am My Own Wife | ... | play |
| I Can Get It for You Wholesale | ‘I Can Get It for You Wholesale’ centers on a determined but cold-hearted entrepreneur, Harry Bo... | musical |
| I Capuleti e i Montecchi (The Capulets and the Montagues) | ... | opera |
| I Do! I Do! | The story follows newly weds Michael and Agnes starting on their wedding day and explores their life... | musical |
| I Had a Ball | ‘I Had a Ball’ is a story about finding love on the Coney Island Boardwalk. Various characters ... | musical |
| I Love My Wife | In ‘I Love My Wife’, Alvin and Wally have been friends ever since high school and are now marrie... | musical |
| I Married an Angel | Willy Palaffi, a banker and ladies’ man, is fed up with earthly women and declares that the on... | musical |