Does anyone know what exchange like binance is that doesn't ask for KYC?
Your question is a quite confusing and kinda naive one. Now the two different types of exchanges we have are either centralised exchanges or decentralised exchanges. And one of the major things that distinguishes both of them is privacy and KYC data. Like you should know already, Decentralised exchanges don't require their users to give out real time private information for them to be able to carry out transactions with them. In some cases they can even act as enscrow in P2p transactions.
Centralised exchanges on the other hand make use of real time private data as mandatory before you can trade with them. Some even have levels to KYC for different volumes of trades. So looking for a centralised exchange that doesn't use KYC is quite absurd.