H

(x)Hail the Conquering Hero (1944)
(o)Hair (1979)
(x)Hamlet (1948)
(o)Hamlet (2000)
(x)Handle With Care (1977)
(o)Hannah and Her Sisters (1986)
(x)Happiness (1998)
(o)A Hard Day's Night (1964)
(x)Harlan County, USA (1976)
(x)Harry and Tonto (1974)
(x)A Hatful of Rain (1957)
(x)The Heartbreak Kid (1972)
(x)Heartland (1981)
(x)Hearts of Darkness: A Filmmaker's Apocalypse (1991)
(x)Heat and Dust (1983)
(o)Heathers (1989)
(x)Heavy Traffic (1973)
(x)Heimat (1985)
(x)The Heiress (1949)
(x)Henry V (1946)
(x) Henry V (1989)
(x)Henry Fool (1998)
(x)Here Comes Mr. Jordan (1941)
(x)High and Low (Japan) (1963)
(x)The High and the Mighty (1954)
(o)High Art (1998)
(x)High Hopes (1988)
(x)High Noon (1952)
(x)High Sierra (1941)
(x)The Hill (1965)
(x)Hiroshima Mon Amour (1960)
(x)His Girl Friday (1940)
(x)The Homecoming (1973)
(o)Hoop Dreams (1994)
(x)Hope and Glory (1987)
(x)Hotel Terminus: Klaus Barbie et son Temps (1988)
(o)The Hours (2002)
(x)Household Saints (1993)
(x)House of Games (1987)
(x)How Green Was My Valley (1941)
(x)How to Marry a Millionaire (1953)
(o)Howard's End (1992)
(x)Hud (1963)
(x)Ken Burns' America: Huey Long (1985)
(x)Husbands and Wives (1992)
(x)The Hustler (1961)

I have seen 9/46 films that begin with the letter H.