| Title || | Director || | Genre || | Manufacturer || | Type || | Discs || | Notes | |
| Heaven Can Wait | Ernst Lubitsch | Comedy | Criterion | DVD | 1 | ||
| High and Low | Akira Kurosawa | Drama | Criterion | DVD | 2 | ||
| High Anxiety * | Mel Brooks | Comedy | Fox | Blu-Ray | 1 | The Mel Brooks Collection | |
| High Fidelity | Stephen Frears | Comedy | Touchstone | DVD | 1 | ||
| High Plains Drifter | Clint Eastwood | Western | Universal | DVD | 1 | ||
| His Girl Friday * | Howard Hawks | Comedy | Criterion | Blu-Ray | 2 | CC40 | |
| His Kind of Woman * | John Farrow | Noir | Warner Brothers | DVD | 1 | ||
| History of the World - Part I * | Mel Brooks | Comedy | Fox | Blu-Ray | 1 | The Mel Brooks Collection | |
| A History of Violence | David Cronenberg | Drama | New Line | DVD | 1 | ||
| The Hit | Stephen Frears | Gangster | Criterion | DVD | 1 | ||
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