Does anyone know what exchange like binance is that doesn't ask for KYC?
You most likely will not find such large exchanges without KУC, it is difficult because they pay attention to regulators and they simply will not be allowed to work. You can look at MEXC, 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 KУC, this is the most popular exchange in this regard.
Really difficult since they need to comply what regulators asked them to do since if they didn't follow some regulation set by government then provably that their exchange will subject to get ban and declared as illegal. With what OP asked maybe he cannot get reliable exchange since most of reputable ones ask KYC and those platform didn't ask for this requirements remain questionable.
So its still up for OP if he's going with those risky exchange or just comply on trusted exchange.
But for me I'm avoiding those platforms which I think risky since its hard to get scam since there's less chance for us to get back the money lose from those scam platforms.