Unfortunately, Hodl Hodl just made a change to their platform policy. They're starting to score your Bitcoin transaction, once flagged you will be requested for the KYC/AML process. Even though they're claiming NOT a KYC/AML process. But seeing the case from the user, they're indeed make a request for KYC/AML process.
I can recall some exchanges doing the same thing recently.
I received an email from my exchange about a restricted list. It said that sending or receiving coins from services on that list could get the transaction flagged, and the coins may have to go through a review or could even be permanently seized.
Maybe this is something many exchanges are being forced to implement by regulatory bodies?
For what OP is looking for, there are many exchanges without KYC, but liquidity could be a problem. Some of these exchanges have very low liquidity pools.