Does anyone know what exchange like binance is that doesn't ask for KYC?
You most likely will not find such large exchanges without KУС, it is difficult because they pay attention to regulators and they simply will not be allowed to work. You can look at MEXС, perhaps the volumes are lower there, but there are quite a lot of trading pairs of all the most popular coins, and they do not require mandatory verification yet, probably after Binance and Kucoin required KУС, this is the most popular exchange in this regard.