Evidence is limited but orcas might also do that to great white sharks. The orcas seem to sometimes work together to exterminate sharks from an area in a way that goes beyond just hunting them for food.
I think the difference is extermination from an area versus exterminating a line. Humans and chimpanzees will exceed their territory to eradicate foes. That, per this primatologist, is a unique adaptation.
Killing off another species isn't that much like genocide, which involves killing off a rival genetic line of the same species, but orcas do that too: https://pubmed.ncbi.nlm.nih.gov/29559642/
Lions and Hyanas are well known for trying to exterminate each other's cubs (they rarely eat the carcases). Adults mostly avoid fighting each other as its too risky.