Sorry to hear about the Mizoguchi print quality, Manicmo. I've mainly got videos of his films, either British or from France internet shopping- Fnac- which work ok, despite being a different system to our PAL, as they're in black and white.
Anyway, however, you get them, here's my objective list of highly rated films. Some i've not seen- unavailable in Britain, but perhaps USA has them.
Mizoguchi: Sansho Dayu*, Ugetsu Monogatari*, Life of Oharu, Story of the Late Chrysanthemums, Tales of the Taira Clan.
Ozu: Tokyo Story*, Late Spring, I was Born But
Kurosawa: Seven Samurai*, Rashomon*, Hidden Fortress, Ran, Throne of Blood, High and Low, Ikiru
Kitano: Hana-Bi, Sonatine
Miyazaki (animations): Spirited Away*, My Neighbour Totoro, Princess Mononoke.
Imamura: The Eel, Ballad of Narayama, Vengeance is Mine
Ichikawa: Enjo, The Burmese Harp, Fires on the Plain, An Actor's Revenge.
Kore-eda; Maborosi, After Life
Kobayashi: The Human Condition (trilogy), Kwaidan
Oshima: Ai no Corrida, Death by Hanging, The Ceremony
Naruse: Floating Clouds
Fukasaku: Battle Royale
Suzuki: Tokyo Drifter, Branded to Kill
Teshigahara: Woman of the Dunes
Shinoda: Double Suicide
Suo: Shall we Dance
Takahata (animation): Grave of the Fireflies
Otomo (animation): Akira
Yamanaka; Humanity and Paper Balloons
Kinugasa: Page of Madness
Kinoshita: Twenty Four Eyes
It's just occurred to me that you could also check under the section for countries here, and on the Internet Movie Database (imdb), but i think my list covers most styles, genres and major names and films. Setting aside personal taste, i've asterisked the most essential films. The major classic directors are Kurosawa, Mizoguci, Ozu. Of contemporary names, Kitano and Miyazaki have big followings.