I don't count Norwegian or Swedish movies as foreign movies, as I'm from Norway. Anime movies goes under anime/animation even though they're really foreign.

Musical/dance:

• Save The Last dance
• Rent
• The Phantom Of The Opera
• Walk The Line
• Dirty Dancing
• Grease
• Coyote Ugly
• The Sound of Music

Drama:

• American History X
• Boys Don't Cry
• Trainspotting
• Requiem For A Dream
• Sleepers
• Forrest Gump
• Alive
• The Breakfast Club
• Rain Man
• Pay It Forward
• Cruel Intentions
• Dances with Wolves
• Monster
• Inside I'm Dancing
• Angels In America (mini series)
• Bare Skyer Beveger Stjernene
• A Perfect World
• An Education

Romance:

• Pretty Woman
• She's All That
• Brokeback Mountain
• My Girl
• Before Sunrise
• Shelter
• 10 Things I Hate About You
• Adam
• A Walk to Remember
• Watercolors

Adventure/Fantasy:

• Big Fish
• Narnia
• Pirates Of The Caribbean: The Curse of the Black Pearl
• The Princess Bride
• Edward Scissorhands
• Stardust
• Avatar

Family:

• E.T.
• Free Willy
• The Secret Garden
• Neverending story
• Ronja Røverdatter
• Brødrene Løvehjerte
• Bridge To Terabithia

Anime/animation:

• Ice Age
• The Nightmare Before Christmas
• Bambi
• Dumbo
• Monsters Inc.
• The Land Before Time
• The Polar Express
• Wall-E
• Up!
• Ponyo
• Whisper of the Heart
• Mary and Max
• The Secret of Kells
• When the Wind Blows

Disaster movies:

• Dante's Peak
• The Vulcano
• The Day After Tomorrow
• Twister
• Cloverfield
• Independence Day

Thriller/action:

• Seven
• Sin City
• Face/Off
• The Sixth Sense
• Fight Club
• Memento
• The Matrix
• Leon
• Reservoir Dogs
• Speed
• Top Gun
• Die Hard: With A Vengeance
• Die Hard 4.0
• Kick-Ass

Horror:

• The Blair Witch Project
• Dawn Of The Dead
• Jurassic Park
• Aliens
• Rosemary's Baby
• Gremlins
• Død Snø
• Saw

Comedy:

• Monty Python's: Life Of Brian
• Mars Attacks
• American Pie
• Hangover
• Zombieland

Foreign:

• Carandiru
• Cinema Paradiso
• La Vita E Bella
• Slumdog Millionaire
• Amphetamine
• The Blossoming of Maximo Oliveros (Ang pagdadalaga ni Maximo Oliveros)

Vampire movies:

• 30 Days of Night
• Let The Right One In
• Blade
• Twilight
• Bitten
• Thirst