I bet OP can't give one reputable casino that does not ask for KYC, reputation, and compliance go together, a casino cannot be reputable without compliance, I don't think people will patronize an establishment online or offline with being regulated or licensed especially if big money is involved, it is illegal to run a project online which ask people to deposit so if OP is naive not to play in a casino that asks for KYC it's his own choice and his choice is not only risky but very limited.
I don't know why any time I play in a gambling which does not require kyc, I will feel that anything can happen to the company or my money. I will feel insecure and will play with small money and little wager in order not to win big. No matter how the company says they don't kyc, you must do kyc if you win big or even the company will run away with your money or victimise you. When they say No kyc, have it at the back of your mind that there's some form of kyc at the end.
To be on a safer side is to play or gamble with sites who requires KYC, of course there are numerous ones available online however there are other non KYC sites too, whose credibility and trust is at stake dealing with those sites is at your own risk, though there are few trusted gambling ones which are well secured and very popular however, they might only requires mandatory KYC when you win big, to remain anonymous means you have to stake with small amount of money and win considerably or avoid winning huge money, KYC or non- KYC depends on individuals some gamblers don't really care about it while others wouldn't reveal their indentities in the name of KYC.