Here's a list of European and Asian films, which I have seen. I have graded only those films that I remember well.

Best Films
Ariel (Finland 1988), Bitter Moon (France, UK 1992), Una Breve vacanza (Italy, 1973), Brève traversée (France, 2001), The Bridge on the River Kwai (UK, 1957), Brødre (Denmark, 2004), La cérémonie (France, 1995), La cité des enfants perdus (France, 1995), David Copperfield (UK, 1999), Le dîner de cons (France, 1998), Le fabuleux Destin d'Amélie Poulain (France, 2001), Glädjekällan (Sweden, 1993), Hable con ella (Spain, 2002), Un homme et une femme (France, 1966), Homme qui aimait les femmes (France, 1977), Le jouet (France, 1976), Jungfrukällan (Sweden, 1960), Lawrence of Arabia (UK, 1962), Das Leben ist eine Baustelle (Germany, 1997), Lola rennt (Germany, 1998), Nineteen Eighty-Four (UK, 1984), Notre Dame de Paris (France, 1956), Les parapluies de Cherbourg (France, 1964), Det sjunde inseglet (Sweden, 1957), Scener ur ett äktenskap (Sweden, 1973), Sommaren med Monika (1953), Sommarnattens leende (Sweden, 1955), Stalingrad (Germany, 1993), Sånger från andra våningen (Sweden, 2000), Søndagsengler (Norway, 1996), Tess (UK, 1979), Tillsammans (Sweden, 2000), Der Untergang (Germany, 2004), Vredens dag (Denmark, 1943), Zappa (Denmark, 1983).

EUROPE

USSR and Russia: listed separately.

France

• A bout de souffle (1960)
• À la folie... pas du tout (2002) Laetitia Colombani [7]
• A nos amours (1983)
• Affaire de gout, Une (2000)
• Âge d'or, L' (1930) Luis Buñuel [3]
• Amant, L' (1992) Jean-Jacques Annaud
• Anatomie de l'enfer (2004) Catherine Breillat [4]
• Angélique et le roy (1966) *
• Beau Serge, Le (1958) Claude Chabrol [6]
• Bitter Moon (1992) Roman Polanski (France, UK) [8]
• Bonnes femmes, Les (1960) Claude Chabrol [6]
• Boum, La (1980) Claude Pinoteau
• Brève traversée (2001) Catherine Breillat [8]
• Captive, La (2000)
• Cousins, Les (1960) Claude Chabrol [7]
• Cérémonie, La (1995) Claude Chabrol [8]
• Charme discret de la bourgeosie Luis Buñuel [6] *
• Chèvre, La (1981) (Невезучие)
• Cité des enfants perdus, La (1995) Marc Caro, Jean-Pierre Jeunet [8]
• Coeur en hiver, Un (1992) (Heart in Winter, A) Claude Sautet [6]
• Deux anglaises et le continent, Les (1971) (Anne and Muriel) François Truffaut [7]
• Dîner de cons, Le (1998) Francis Veber [8]
• Emmanuelle (1974) Just Jaeckin [4]
• Enfants du paradis, Les (1945) *
• Fabuleux Destin d'Amélie Poulain, Le (2001) (Amelie from Montmartre) Jean-Pierre Jeunet [8]
• Fanfan la Tulipe (1952) *
• Fantomas (1964) *
• Flic ou voyou (1979) (Игра в четыре руки) *
• Gloire de mon père, La (1990) [7]
• Grand blond avec une chaussure noire, Le (1972)
• Homme et une femme, Un (1966) Claude Lelouch [8]
• Homme qui aimait les femmes (1977) François Truffaut [8]
• Histoire d'Adèle H., L' (1975) (Story of Adele H., The) François Truffaut [7]
• Intimacy / Intimité (2001) Patrice Chéreau
• Jouet, Le (1976) [9] *
• Jules et Jim (1962) François Truffaut
• Lola (1961) Jacques Demy [6]
• Madame Bovary (1991) Claude Chabrol [7]
• Mille et une recettes du cuisinier amoureux, Les (1997)
• Ma vie en rose (1997) Alain Berliner [7]
• Notre Dame de Paris (1956) [8] *
• Parapluies de Cherbourg, Les (1964) Jacques Demy [8] *
• Pianiste, La (2001) [6]
• Du rififi chez les hommes (1955) (Rififi) Jules Dassin [6]
• Sirène du Mississipi, La (1969) (Mississippi Mermaid) [7]
• Sous le sable (2000) Ozon [6]
• Valseuses, Les (1974)
• Vénus beauté (1999)

Italy

• Avventura, L' (1960) [4]
• Bluff storia di truffe e di imbroglioni (1976) (Блеф) *
• Breve vacanza, Una (1973) [9]
• Concorde Affaire '79 (1979) (Спасите Конкорд) *
• Corniaud, Le (1965) (Разиня) *
• Dreamers, The (2003) (Les innocents) Bernardo Bertolucci [7]
• Fidanzati, I (1962) (Engagemen, The; Fiances, The) Ermanno Olmi [7]
• Germania anno zero (1948) Roberto Rossellini [6]
• Last Emperor, The (1987) Bernardo Bertolucci [7]
• Nuovo cinema Paradiso (1989) (Cinema Paradiso), 123 min. Giuseppe Tornatore [6]
• Pane e tulipani (2000) (Bread and Tulips) Silvio Soldini [7]
• Stanza del figlio, La (2001) (The Son's Room) Nanni Moretti [7]
• Ultimo tango a Parigi (1972) Bernardo Bertolucci [6]

Spain

• Hable con ella (2002) Pedro Almodovar [8]
• My Life Without Me (2003) Isabel Coixet (Spain/Canada) [7]
• Qué he hecho yo para merecer esto?!! (1984) Pedro Almodovar [5]

UK

• Bridge on the River Kwai, The (1957) David Lean [10]
• David Copperfield (1999) Simon Curtis [8] - A TV series produced by BBC. I have not read the book, but some scenes are predictable. The acting is brilliant.
• Death on the Nile (Роковое путешествие) *
• Great Expectations (1946) David Lean
• Jane Eyre (1983) (mini) *
• Lawrence of Arabia (1962) David Lean [9]
• Nineteen Eighty-Four (1984) Michael Radford [8]
• Tess (1979) Roman Polanski [8] *
• Trainspotting (1996)

Germany

• Blechtrommel, Die (1979) Volker Schlöndorff
• Good Bye Lenin! (2003) Wolfgang Becker [6]
• Leben ist eine Baustelle, Das (1997) [9]
• Legende von Paul und Paula, Die (1974) Heiner Carow [7]
• Lola rennt (1998) (Беги, Лола, беги) [8]
• Stalingrad (1993) [8]
• Untergang, Der (2004) (Downfall/Бункер) Oliver Hirschbiegel [9]

Netherlands

• Rent a Friend (2000)

Sweden

• Fanny och Alexander (1982) Ingmar Bergman [7]
• Fucking Amål (Show Me Love / Покажи мне любовь) Lukas Moodysson
• Glädjekällan (1993) [8]
• God afton, Herr Wallenberg - En Passionshistoria från verkligheten (1990) Kjell Grede [7]
• Höstsonaten (1978) (Autumn Sonata) Ingmar Bergman
• Jag ar nyfiken - en film i gult (1967) (I Am Curious - Yellow) Vilgot Sjöman [6]
• Jungfrukällan (1960) (The Virgin Spring) Ingmar Bergman [9]
• Lektion i kärlek, En (1954) Ingmar Bergman
• Mitt liv som hund (1985)
• Nattvardsgästerna (1962) Ingmar Bergman [6]
• Offret (1986) (see Russian films)
• Passion, En (1969) Ingmar Bergman [6]
• Scener ur ett äktenskap (1973) (1977) (Scenes from a Marriage) Ingmar Bergman [9]
• Serpent's Egg, The (1977) Ingmar Bergman [7]
• Sjunde inseglet, Det (1957) Ingmar Bergman [10]
• Smultronstället (1957) (Wild strawberries / Fraises sauvages / Земляничная поляна) Ingmar Bergman [7]
• Sommaren med Monika (1953) (Summer with Monika) Ingmar Bergman [9]
• Sommarlek (1951) (Summerplay) Ingmar Bergman [6]
• Sommarnattens leende (1955) (Smiles of a Summer Night) Ingmar Bergman [8]
• Sånger från andra våningen (2000) (Songs from the Second Floor / Chansons du deuxième etage / Песни со второго этажа) Roy Andersson [8]
• Såsom i en spegel (1961) (Through a Glass Darkly) Ingmar Bergman [5]
• Tillsammans (2000) (Together) Lukas Moodysson [9]
• Tystnaden (1963) (The Silence) Ingmar Bergman [6]
• Under solen (1998) (Under the Sun) Colin Nutley [7]

Norway

• Budbringeren (1997) Pål Sletaune [7]
• Elling (2001) Petter Næss [6]
• Elsk meg i morgen (2005) Petter Næss [6] - The last film of the trilogy about Elling, a mentally challenged man in his 40s. This film is about his attempts to find a girl-friend.
• Mors Elling (2003) Eva Isaksen [7] - The second film about Elling. It examines Elling's relations with his mother.
• Salmer fra kjøkkenet (2003) (Kitchen Stories / Psalmer från köket / Кухонные байки) Bent Hamer [7]
• Søndagsengler (1996) (Other Side of Sunday, The) Berit Nesheim [8]
• Ulvesommer (2003) (Wolf Summer) Peder Norlund [6] - About a teenage girl, who make friends with wolves and protects them from hunters. I liked the scenes with the wolves. The plot is quite unrealistic, but it is a film for children.

Denmark

• Breaking the Waves (1996)
• Brødre (2004) (Brothers) Susanne Bier [8]
• Dancer in the Dark (2000) [6]
• Pelle erobreren (1987) (Pelle the Conqueror) [7] Bille August
• Tro, håb og kærlighed (1984) [6] (Twist and Shout) Bille August
• Vredens dag (1943) [8] Carl Theodor Dreyer
• Zappa (1983) [8] Bille August

Iceland

• Nói albínói (2003) [7] Dagur Kári

Finland

• Ameriikan raitti (1990) Lauri Törhönen [6] - The adventures of Finnish tax evaders, who flee to Florida and try to start a new life there.
• Ariel (1988) Aki Kaurismäki [8]
• Juha (1999) Aki Kaurismäki [6]
• Kauas pilvet karkaavat (1998) (Drifting Clouds) Aki Kaurismäki [6]
• Kuutamolla (2002) (Lovers & Leavers) Aku Louhimies [6]
• Mies vailla menneisyyttä (2002) (Man Without a Past, The) Aki Kaurismäki [7]
• Onnen varjot (2005) (The Midsummer Child) Claes Olsson [5]
• Rukajärven tie (1999) (Ambush) Olli Saarela [6]
• Tulennielijä (1998) (Fire-Eater) Pirjo Honkasalo [6]
• Tuntematon sotilas (1955) Edvin Laine [7]

Poland

• Faraon (1966) (Pharaoh) Jerzy Kawalerowicz

ASIA

Afghanistan

• Osama (2003) Siddiq Barmak [7]

India

• Alibaba Aur 40 Chor (1980) USSR / India *
• Seeta Aur Geeta (1972) *

Iran

• Bacheha-Ye aseman (1997) (Children of Heaven) Majid Majidi

Japan

• Kyôryuu: Kaichô no densetsu (1977) (Legend of Dinosaurs and Monster Birds / Легенда о динозавре) Junji Kurata *
• Rashômon (1950) Akira Kurosawa [7]

Turkey

• Lyubov moya, pechal moya (1978) USSR / Turkey *