Most exchanges ask for email addresses or worst, KYC.
some exchanges dont require manual sign up and dont require a kyc at all . kyc are only for bigger amounts of transactions . also , if an exchanger ask for kyc , you can use temporary email to hide your real identity.
decentralized exchange can be a choice too if that is what you are saying. I don't know much about the transaction process of decentralized exchange but they don't ask for KYC or email address. Just don't forget to use TOR or VPN.
dex or decentralized exchange were already anonymous , so why need for tor or vpn ? though you can still use those tools if you are really conscious about your privacy or if the site is blocked on your country