NYFC

Movies that have won 4 or more NYFC awards;

07 No Country for Old Men - 4

04 Sideways - 4

02 Far From Heaven - 5

91 The Silence of the Lambs -4

87 Broadcast News - 5

85 Prizzi's Honor - 4

There were fewer awards (no Cinematography, for example) before 1980.

77 Annie Hall - 4

72 Cries and Whispers - 4

There were no supporting awards before 1969, so I'm stopping there...