There are two exchanges I use that say no kyc for <2BTC withdraws. kucoin and coinex exchange, I think they are a good choice for those who are looking for an alternative to FTX at the moment, there is good liquidity and good daily trading volume. But in general, after these recent incidents, there is no safe central exchange in my opinion, if you want to trade it is better to use a small part of the capital only or use decentralized exchanges.
Kucoin is a very good exchange and I was surprised it isn't up there competing with Binance instead scams like FTX was been praise to be the next big exchange. Kucoin has been steadily evolving and their service are as top notch as that of binance with obvious advantage over it like non kyc withdrawal and great opportunity to invest in new project for the high volume exchange list them.
What I love about Kucoin is they don't hesitate to list new projects as they're launch. This give their customers an opportunity to research and be among first buyers of the project before they're been discovered and pump to full potential.
Apart from Kucoin, I also use other non KYC exchange like Pancakeswap and Uniswap. If you're trading tokens on the Ethereum or binance smartchain, this two decentralized exchanges are very comfortable to use than the centralized ones.