On the emulator, I get a good RNG for the 1st stage if I start the game in the 1st or 3rd frame. I hold "select" (to skip the splash animation), press reset, and mesh "start" for that.
Other stages are extremely random as far as I know.
/google translate.

General rules for speedrunning NES games https://goo.gl/pYN6AR

Supported emulators:

FCEUX 2.2.3
Mesen 0.9.7
Nestopia 1.40

https://github.com/almamay/nes/blob/master/Dr.%20Mario/dr-mario.asl

Autosplitter for LiveSplit.
Supported emulators:
- FCEUX 2.2.3
- Nestopia 1.40

https://raw.githubusercontent.com/almamay/nes/master/Little%20Mermaid/Little%20Mermaid.asl

My version https://github.com/almamay/nes/tree/master/Batman%20-%20The%20Video%20Game%20(NES)

https://github.com/almamay/nes/blob/master/Tengen%20Tetris%20(NES)/Tengen_Tetris.asl