Pufferfish play the entity.puffer_fish.sting sound when stinging players, but don't play the sound when stinging mobs.
Berry bush damaging sound does not play when other mobs are damaged by sweet berry bushes
Non-player mobs damaged by fire do not play fire damage sound
Non-player mobs damaged by drowning do not play the drowning damage sound
Mobs damaged by freezing do not play the freezing damage sound