Like how Binance used to be before they implemented mandatory KYC not too long ago?
Most reputable exchange now needs the user to fill KYC. If you really want to avoid KYC, DEX is the best choice and you can select from PancakeSwap, Biswap, or other exchanges on Trust wallet. From that, you can trade inside the wallet but I am not sure about the fee of trading because that can be bigger than CEX. I think KuCoin accepts the basic verification so you can try that.