Binance!
If you aren't a whale who do make withdrawals more than 2 BTC daily then exchange would already be enough for your exchange needs.
There are still some exchange who don't require kyc thing but if I were you I would definitely go for the best exchangers as of this moment.
I hope they will not change this, this rule of them is really helpful to those people who wants to hide their personal information.
I am also waiting for them to launch their decentralized exchange, they can have their centralized exchange fully KYC compliant for users but that decentralized exchange should not require any, as that's the essence of a decentralized exchange. We need to preserve our privacy here.
