Without KYC my favorites are TradeOgre, Exbitron (new altcoins) and Coinex. Coinex is more modern and KYC is optional. They only ask for it to participate in airdops/promotions. But Coinex saves your ip when you log in to prevent account theft.
TradeOgre and Exbitron don't even have a KYC option.
You must be more careful on dealing with these exchanges, and beside they still record a transactions date and this might not be ok with OP. I’m wonder if there’s an exchange that don’t have any date I believe this is really impossible because blockchain also have transactions date. Well, if OP is just looking for a good exchange with less to no KYC requirement, I’ll go for Kucoin.