In fact there almost as many consensus mechanisms as there are blockchains. In the beginning it was PoW that defined what was a blockchain, but with its obsolescence in favor of Proof of stakes for many chains the situation got muddier. Facebook's Libra/Diem for instance was based on a strongly consistent algorithm (as opposed to the eventually consistent nature of PoS) that's not that different from PBFT and ByzPaxos.