If you take another life you should get the chair.
If you take another's virginity without their permission, you should be castrated and thrown in jail (pedophiles should be castrated and then get the chair though).
Etc.
Though I think killing animals depends on the animal.
Like buffalos or cows will die to another animal eventually, they're kind of destined to be jumped by hyenas or lions anyway, but killing a dog makes no sense and you should be killed for it in response.