Melk's Anims.j2a has the same format as JJ2's, with one major exception: every animation set has its own 256-color palette. COW has a different palette from FEMALE01, and so on. All the sprites within each animation set share one palette, but sprites across different animation sets have different palettes. This is entirely independent from the tileset's palette, and (as seen above) the textured background's palette. Understandably, the game only runs in 16-bit color, not 8-bit color. (The reverse of Battery Check.)

ETA: I've updated my j2a-extract fork to support this with an optional argument -m