Telos is a new blockchain network based on EOSIO software. Eos and Telos are both networks running the EOSIO software. Any smart contract that runs on one system should run equally well on the other. Telos has modified the Eos genesis snapshot and some rules to make the network more responsible to the majority of token holders, to be more attractive to DApp developers, and to generally run more responsively and sustainably. TLOS is the name of the token that reflects ownership in the Telos network. A TLOS token is like an EOS token except that there will be around 3X fewer TLOS tokens than EOS.
Boolberry is a cryptocurrency based on CryptoNote technology. Boolberry's major benefit is to provide much stronger privacy to both the senders and receivers of transactions. The destination of a transaction can only be determined by its real recipient and transactions cannot be linked to a single sender. Each transaction could have many equally possible senders, and an attacker cannot determine which one it was. There is an aliasing facility built into the blockchain so that people or programs can send money to, for example, '@zoidberg' instead of a long address.