What are some animes that are like Black Butler or Deathnote?
Nothing that is too inappropriate.
One of the animes is 07-ghost- the monsters are called kor, and there are death gods in it. Nurarihyon no Mago. It's good as far as I can tell although I haven't seen much of it. But for further varieties you can check at http://www.fanpop.com/spots/anime/answers/show/295098/death-note-black-butler-code-geass-soul-hunter-which-one-like.