http://patangay.com/moviegame/
I just did it and got 26 out of 72. I'm posting a list of the ones I've got here in case you want to check it, but no peeking until you've tried for yourself now!
1: ?
2: ?
3: ?
4: ?
5: ?
6: ?
7: ?
8: ?
9: Full Metal Jacket
10: Jay and Silent Bob Strike Back
11: Lawrence of Arabia
12: ?
13: ?
14: Do the Right Thing
15: Saturday Night Fever
16: ?
17: ?
18: Pulp Fiction
19: Buffalo '66
20: ?
21: Ransom
22: ?
23: ?
24: ?
25: ?
26: ?
27: ?
28: The Blair Witch Project
29: Eyes Wide Shut
30: Hellraiser
31: ?
32: ?
33: Forrest Gump
34: ?
35: ?
36: ?
37: ?
38: Shrek
39: ?
40: ?
41: Broadcast News
42: ?
43: ?
44: ?
45: ?
46: ?
47: The Matrix
48: ?
49: Scream
50: ?
51: Grease
52: ?
53: The Naked gun
54: ?
55: ?
56: ?
57: Boogie Nights
58: American Beauty
59: ?
60: ?
61: Schindler's List
62: ?
63: ?
64: ?
65: Deliverance
66. The Waterboy
67: ?
68: ?
69: Wet Hot American Summer
70: ?
71: Sleepy Hollow
72: Godzilla