Does any creature's blood carry a curse in the same way a unicorn's does?

According to this answer, a unicorn's pure blood carries a curse:

You have slain something pure and defenceless to save yourself and you will have but a half life, a cursed life, from the moment the blood touches your lips.’

Philosopher's Stone - page 188 - UK - chapter 15, The Forbidden Forest

Are unicorns the only creatures, in the HP universe, with blood so pure that it carries such a curse?