Alright, let's see. I'm doing this by year. I like it better that way.
28: Wings
29: The Broadway Melody
30: All Quiet on the Western Front
31: Cimarron
32: Grand Hotel
33: Cavalcade
34: It Happened One Night, The Thin Man
35: Mutiny on the Bounty
36: The Great Ziegfeld, A Tale of Two Cities
37: The Life of Emile Zola, Lost Horizon
38: You Can't Take It With You, The Adventures of Robin Hood, Grand Illusion
39: Gone With the Wind, Mr. Smith Goes to Washington, Ninotchka, Stagecoach, The Wizard of Oz, Wuthering Heights
40: Rebecca, The Grapes of Wrath, The Great Dictator, The Philadelphia Story
41: How Green Was My Valley, Citizen Kane, The Maltese Falcon, Suspicion
42: Mrs. Miniver, The Magnificent Ambersons, Yankee Doodle Dandy
43: Casablanca, For Whom the Bell Tolls
44: Going My Way, Double Indemnity, Gaslight
45: The Lost Weekend
46: The Best Years of Our Lives, Henry V, It's a Wonderful Life
47: Gentleman's Agreement, Miracle on 34th Street
48: Hamlet, The Treasure of the Sierra Madre
49: All the King's Men50: All About Eve, Sunset Boulevard
51: An American in Paris, A Place in the Sun, A Streetcar Named Desire
52: The Greatest Show on Earth, High Noon
53: From Here to Eternity, Julius Caesar, Shane
54: On the Waterfront
55: Marty
56: Around the World in 80 Days, Giant
57: The Bridge on the River Kwai, 12 Angry Men
58: Gigi
59: Ben-Hur, Anatomy of a Murder
60: The Apartment
61: West Side Story, The Hustler, Judgement at Nuremberg
62: Lawrence of Arabia, The Longest Day, To Kill a Mockingbird
63: Tom Jones
64: My Fair Lady, Dr. Strangelove, Mary Poppins
65: The Sound of Music, Doctor Zhivago
66: A Man for All Seasons, Who's Afraid of Virginia Woolf?
67: In the Heat of the Night, Bonnie and Clyde, The Graduate, Guess Who's Coming to Dinner
68: Oliver!, The Lion in Winter, Romeo and Juliet
69: Midnight Cowboy, Butch Cassidy and the Sundance Kid, Z
70: Patton, MASH
71: The French Connection, A Clockwork Orange, The Last Picture
72: The Godfather, Cabaret, Deliverance
73: The Sting, American Graffiti, The Exorcist
74: The Godfather Part II, Chinatown, The Conversation
75: ALL One Flew Over the Cuckoo's Nest, Barry Lyndon, Dog Day Afternoon, Jaws, Nashville
76: Rocky, All the President's Men, Network, Taxi Driver
77: Annie Hall, The Goodbye Girl, Star Wars
78: The Deer Hunter, Midnight Express
79: Kramer vs. Kramer, Apocalypse Now
80: Ordinary People, The Elephant Man, Raging Bull
81: Chariots of Fire, Raiders of the Lost Ark, Reds
82: Gandhi, E.T. The Extra Terrestrial, Tootsie
83: Terms of Endearment
84: Amadeus
85: Out of Africa, The Color Purple, Prizzi's Honor, Witness
86: Platoon, Hannah and Her Sisters
87: The Last Emperor
88: Rain Man, Mississippi Burning
89: ALL Driving Miss Daisy, Born on the Fourth of July, Dead Poets Society, Field of Dreams, My Left Foot
90: Dances with Wolves, The Godfather Part III, Goodfellas
91: The Silence of the Lamb, Beauty and the Beast, Bugsy, JFK
92: Unforgiven, A Few Good Men
93: Schindler's List, The Fugitive
94: Forrest Gump, Pulp Fiction, Quiz Show, Shawshank Redemption
95: Braveheart, Apollo 13
96: The English Patient, Fargo
97: Titanic, Good Will Hunting, L.A. Confidential
98: Shakespeare in Love, Saving Private Ryan, The Thin Red Line
99: American Beauty, The Green Mile, The Sixth Sense
00: Gladiator, Crouching Tiger Hidden Dragon, Traffic
01: A Beautiful Mind, The Lord of the Rings: The Fellowship of the Ring
02: Chicago, Gangs of New York, The Lord of the Rings: The Two Towers
03: ALL The Lord of the Rings: The Return of the King, Lost in Translation, Master and Commander, Mystic River, Seabiscuit
04: Million Dollar Baby, The Aviator
05: Crash, Capote, Good Night and Good Luck, Munich
06: The Departed
07: No Country for Old Men, Michael Clayton, There Will Be Blood
08: Slumdog Millionaire, The Curious Case of Benjamin Button
09: The Hurt Locker, Avatar, District 9, Inglourious Basterds, A Serious Man, Up
10: The King's Speech, Black Swan, The Fighter, Inception (duh), 127 Hours, The Social Network, Toy Story 3, True Grit
11: The Artist, The Descendants, The Help, Hugo, Midnight in Paris, Moneyball, The Tree of Life, War Horse
12: Argo, Beasts of the Southern Wild, Django Unchained, Les Miserables, Lincoln, Silver Linings Playbook, Zero Dark Thirty
If I counted that right I've seen 238 of the BP nominees.
Worth noting that I've been trying (and failing) to see all the nominees before the ceremony since 2010. Also worth noting is that the only years that I saw the winner​ before the ceremony were 2003, 2011, and, most likely, 2012.