Based on the Gamecube controller to Nintendo 64 adapter by Andrew Brown and N64 to HID by Peter Den Hartog.
Nokia 5110 LCD module pinout
LCD CLK -> Arduino Uno Pin 8
LCD DIN -> Arduino Uno Pin 9
LCD DC -> Arduino Uno Pin 10
LCD RST -> Arduino Uno Pin 11
LCD CE -> Arduino Uno Pin 12
N64 controller pinout
N64 VCC -> Arduino Uno 3.3V
N64 Data -> Arduino Uno Pin 2
N64 GND -> Arduino Uno GND
Between N64 Data and N64 VCC place a 1K Ohm pull-up resistor.