Recorded using Bizhawk 2.6.1. Works alright on 2.8.
Prerequisites:
0) Get the firmware for 32X and place three .bin files (68k, SH2 Master, SH2 Slave, or G, M, S) in \BizHawk-2.8-win-x64\Firmware\
1) Turn on the game (File -> Open ROM)
2) Click on PicoDrive in the top bar
3) Go to -> Settings -> RegionOverride and choose US.
4) Launch the movie: File -> Movie -> Play Movie...
By default, it looks for movies in \BizHawk-2.8-win-x64\Movies, but you can set the file location by clicking on the folder button.
SHA1 hashes
Doom (E).32x: 4ec03c2114ebffbbcd16859583340d4ea4cd8dd5
Doom_E_32X_Resurrection_v2.1.xdelta: e740ece0474e933395a86771e575b98fa09f8765