| Title (Click to Show All) || | Director || | Genre || | Manufacturer || | Type || | Discs || | Notes | |
| Heaven Can Wait | Ernst Lubitsch | Comedy | Criterion | DVD | 1 | ||
| High and Low | Akira Kurosawa | Drama | Criterion | DVD | 2 | ||
| His Girl Friday * | Howard Hawks | Comedy | Criterion | Blu-Ray | 2 | CC40 | |
| The Hit | Stephen Frears | Gangster | Criterion | DVD | 1 | ||
| Homicide | David Mamet | Drama | Criterion | DVD | 1 | ||
| House * | Nobuhiko Obayashi | Foreign | Criterion | Blu-Ray | 1 | CC40 | |
| House | Nobuhiko Obayashi | Cult | Criterion | DVD | 1 | ||
| I Am Cuba | Mikhail Kalatozov | Foreign | Criterion | Blu-Ray | 1 | ||
| I am Waiting * | Koreyoshi Kurahara | Noir | Criterion | DVD | 1 | Nikkatsu Noir Eclipse boxset | |
| I Shot Jesse James * | Samuel Fuller | Western | Criterion | DVD | 1 | First films of Sam Fuller Eclipse | |
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