According to IMDB, these are the top 50 indie films:

Trying to check how many of them I've actually seen --

1. One Flew Over the Cuckoo's Nest (1975)
2. Pulp Fiction (1994)
3. Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1964)
4. The Usual Suspects (1995)
5. Memento (2000)
6. Psycho (1960)
7. The Silence of the Lambs (1991)
8. Eternal Sunshine of the Spotless Mind (2004)
9. Apocalypse Now (1979)
10. To Kill a Mockingbird (1962)
11. Se7en (1995)
12. Requiem for a Dream (2000)
13. Monty Python and the Holy Grail (1975) <-- saw Life of Brian
14. Léon (1994)
15. American History X (1998)
16. Before Sunset (2004)
17. Amadeus (1984)
18. Kill Bill: Vol. 1 (2003)
19. Reservoir Dogs (1992)
20. Fargo (1996)
21. Donnie Darko (2001)
22. Voyna i mir (1968)
23. The Lion in Winter (1968) <-- saw the recent Hallmark remake
24. The Graduate (1967)
25. Sideways (2004)
26. Amores perros (2000)
27. Platoon (1986)
28. The Straight Story (1999)
29. Campanadas a medianoche (1965)
30. A Man for All Seasons (1966)
31. Sling Blade (1996)
32. Lost in Translation (2003)
33. Magnolia (1999)
34. Invasions barbares, Les (2003)
35. The Terminator (1984)
36. Trainspotting (1996)
37. Henry V (1989)
38. Crimes and Misdemeanors (1989)
39. 21 Grams (2003)
40. Mulholland Dr. (2001)
41. The Sweet Hereafter (1997)
42. This Is Spinal Tap (1984)
43. Being John Malkovich (1999)
44. The Big Lebowski (1998)
45. Lock, Stock and Two Smoking Barrels (1998)
46. Whale Rider (2002)
47. Secrets & Lies (1996)
48. Hannah and Her Sisters (1986)
49. You Can Count on Me (2000)
50. Shaun of the Dead (2004)