Centralized exchanges shouldn't even operate without being regulated. and as long as they are centrally controlled, they can be easily abused. Real exchanges (real decentralized exchange) have little or non of this problem.
Centralized exchanges are the source of many financial frauds in crypto world.
There are very few centralized exchanges don't ask for KYCs, but you can choose decentralized exchanges to avoid KYC requirements, if you don't want to do it. Crypto Bridge is one of good decentralized exchanges for you.
Most of the centralized exchanges don't ask KYC if you only have small money there, if it is a huge money maybe that you withdrawn a day maybe more than 0.5 BTC they would definitely ask you for KYC. Even in Binance they have withdrawal limit of 0.5 BTC if i'm not mistaken for non-KYC users and most of the users have no problem with that. However I still can't deny the fact that submitting your ID for KYC will grant you freedom by sacrificing your anonimity.