Hyperledger Fabric

This is more a framework for private blockchains than a consensus algorithm.

Compared to public blockchains there are less security checks as all participating nodes are known and have an interest in keeping the blockchain sane.

You can create more ledgers that only need to be shared with the concerned parties. E.g. a company that have several suppliers can use different ledgers for each supplier. All transactions are known to the buyer but not to the (competing) suppliers.

You can define how transactions are validated per ledger. It is completely centralized.