You will have hard time in looking for one that's still non/free kyc casino. Because the majority now asks you verification whenever they want to or when you trigger something like huge wins and withdrawals.
At start, they're fine with that and won't be forcing you but it won't take you forever when they will start looking for additional documents for you to supply them and for you to keep gambling with them.
Even the known and popular casinos in the forum, they've went that way.
You are very spot on with your comment. I even did a thread about this some two weeks ago. There's hardly any truly 100% non-KYC casinos. For the OP's first few games he may get away with being asked to submit any kKYC documents. As soon as he begins to get comfortable and forget that there's a thing called KYC he'll be asked to submit one before withdrawal.