If you come from the same country as me, there are two good exchanges for trading, Indodax and Tokocrypto. All local exchanges require us to complete KYC and for those who don't want KYC exchange, it means the desired exchange is not available.
Globally, Binance exchange is well known. But they also require KYC. Binance supports SegWit and Lightning. Use Binance with caution as in many cases they are not registered with the legal regulations [permits] of the country of operation.
All exchange are require with KYC regarding the government regulation and the exchange market won't their operation close if not adopt KYC for their all costumer. Currently has Kucoin not require with KYC but recently needed verifying account by uploading document ID if want trade or make withdrawal at Kucoin exchange.
For all local exchange are require KYC behind government regulation, I think for best exchange require KYC is not much problem because to make our account keep safety when some time got abnormal activities we can re KYC and our assets keep secure at the exchange market. Binance have adopted this rule when abnormal activities require with resubmit KYC and protect our account or our assets keep secure in the exchange wallet.