If you really value your privacy and will not want to sign up or create an account on any exchange, then you can buy from any of the DEX.
1. https://exch.cx/
2. https://xchange.me/
3. https://flyp.me/en/
4. https://www.coinplaza.it/

If you don't want to perform KYC, try the listed CEX below. Please note that there's a certain amount of Bitcoin that you will hold in these exchanges that you will be required to carry out KYC before you will be able to withdraw your Bitcoin.
1. https://www.bitforex.com/en/
2. https://www.mexc.com/
3. https://www.digifinex.com/