Yes, HitBTC, Houbi Pro, Bitfinex, Coinbene, and lots more great cryptocurrency exchanges don't require KYC. You should go ahead to try them.
So you think it's good for people to play Russian roulette with their funds on shit exchanges? Every single exchange you listed has a shady history, and still is acting more than shady today. On top of that, every listed exchange (one more than the other) is also known to freeze funds at whatever random moment in time, forcing people to provide documents and whatnot.
As far as I know with each trading account you should verify your account correctly. Reason: Firstly, you can get the maximum withdrawal limit of the trading floor, the second you can get the best support from the trading support team. That's what I think is perfectly reasonable. You can choose Bittrex if you are afraid of having too many verifications. High stability and no need to wait too long in every transaction!
To add; if you basic verify yourself on exchanges with false information (false address, name, etc) and the exchange in question is going to subject you to the full ID verification process, you are toasted. Explain them why you put wrong' address and name data that doesn't match with your actual documents. Kiss your funds goodbye.