Slaughter - An enchantment that works against vertebrate animals
Smite and Bane of Arthropods are interesting enchantments because they encourage the player to make a trade-off: massive damage against a particular mob type without the general benefit of Sharpness. My suggestion is that there should be another enchantment like this for attacking animals. I'd call it "Slaughter".
This would of course affect passive mobs like cows and chickens. You might use it on livestock the way some people keep a Smite sword near a zombie trap. Another benefit would be against hostile and neutral animals like the hoglin, ravager, and polar pear. Perhaps it could also work on creepers, but that's comes down to game design and Mojang's willingness to make a statement of creeper biology. If it did, that would make the four basic monsters all vulnerable to some kind of specialized enchantment.
"People" type mobs - Villagers, illagers, endermen, and players would be exempt from taking Slaughter damage. This would make Raids and the End more special threats, and of course not horribly unbalance PVP. There's nothing very enchanting about committing murder after all.