My taste seems to be plot-driven rather than cinematic, and the fewer car chases the better. But a good dose of pain or awkwardness in a film is alright by me. Here are some I've loved:

A Gun, A Car, A Blonde
Adam's Rib
Adjuster, The
Airplane
AKA
All About Eve
Amelie
American Beauty
Amores Perros
Angels in America
Another Day in Paradise
Arsenic & Old Lace
As Good as it Gets
Bad Day at Black Rock
Bank Job, The
Being John Malcovich
Being There
Best of Show
Better Luck Tomorrow
Big Sleep, The
Billy Elliot
Blue
Bonnie & Clyde
Bottle Rocket
Bound
Boys Don't Cry
Brain Candy
Brazil
Brick
Bridge on the River Kwai
Buffalo 66
Bullets over Broadway
Bully
Cabaret
Casablanca
Cat on a Hot Tin Roof
Central Station
Chicago
China Syndrome
Chinatown
Chocolat
Chocolate War
Citizen Ruth
Clerks
Color Purple
Crying Game
Dave
Day of the Jackal
Dead Poets' Society
Dear Frankie
Death on the Nile
Death Proof
Diner
Dog Day Afternoon
Donnie Brasco
Donnie Darko
Dr. Strangelove
Drowning Mona
Drugstore Cowboy
Eat, Drink, Man, Woman
Edge of 17
Edward Scissorhands
Election
Elephant
Escape from Alcatraz
Ever After
Exotica
Felicia's Journey
Five Corners
Five Senses, The
Flawless
Flowers of my Secret, The
Four Days in September
Freeway
Fried Green Tomatoes
Get Real
Get Shorty
Go
Godfather I,II,III
Gods and Monsters
Good Will Hunting
Good, the Bad, and the Ugly
Great Santini
Groundhog's Day
Hanna and Her Sisters
Happiness
Happy Endings
Harold and Maude
Harvey
Hidden Fortress
High Fidelity
High Heels
House of Sand and Fog
House of Yes
Husbands and Wives
Il Postino
In the Bedroom
In the Heat of the Night
Inglourious Basterds
Jackie Brown
Joy Luck Club
Kagemusha
Kramer v Kramer
L.I.E.
LA Confidential
Lantana
Last Night (1998, Toronto; apocalyptic)
Law of Desire
Lawrence of Arabia
Leaving Las Vegas
L'enfant (The Child)
Lion in Winter, The
Little Voice
Living End, The
Living in Oblivion
Love and Human Remains
Ma Vie en Rose
Madame Rosa
Man for All Seasons, A
Man Who Wasn't There
Man Who Would Be King, The
Marathon Man
Mars Attacks
Memento
Miracle Worker
Mission
Monster
Muriel's Wedding
My Life as a Dog
My Own Private Idaho
My Son the Fanatic
Mysterious Skin
Nightmare Before Christmas
One Day in September
One Flew over the Cuckoo's Nest
Opposite of Sex, The
Parting Glances
Pieces of April
Planet Terror
Pleasantville
Postcards From the Edge
Precious
Princess Bride
Pulp Fiction
Quiz Show
Raising Arizona
Raising Victor Vargas
Ran
Rashomon
Red
Ref, The
Return to Paradise
Richard III
Road Home, The
Rocky
Roman Holiday
Royal Tenenbaums, The
Scotland, PA
Seabiscuit
Serial Mom
Serious Man, A
Sex, Lies and Videotape
Shall We Dance? (original)
Shining, The
Silkwood
Sleuth
Sling Blade
Snatch
Some Like it Hot
Speaking Parts
Spitfire Grill
Stalag 17
Streetcar Named Desire
Strictly Ballroom
Sunset Boulevard
Sweet Hereafter, The
Talented Mr Ripley
Tales of the City
Tampopo
Terms of Endearment
Thelma & Louise
Time for Drunken Horses, A
Times of Harvey Milk
To Have and Have Not
Together Alone
Torch Song Trilogy
Traffic
Traffik (Extended version)
Transamerica
Trip to Bountiful
Twin Falls Idaho
Two Days in the Valley
Wag the Dog
Wait Until Dark
Waiting for Guffman
West Side Story
Whatever Happened to Baby Jane?
What's Eating Gilbert Grape
White
Whole New Thing
Who's Afraid of Virginia Woolf?
Witness for the Prosecution
Wizard of Oz
Woodsman, The
World According to Garp
Y Tu Mama Tambien