The only exchange that I found to be reliable so far is Paybis.com but according to their TOS, it's possible that they'll ask you for documents at a certain point.
Take a look on bestchange.com - they have a fairly comprehensive list.
If your expectation is that there is no chance they'll ask you for verification, though, realistically I doubt that you'll find any service that does so. Pretty much all exchangers that I've came across, including p2p platforms, have clauses in their ToS that allow them to ask for verification if they have reason to suspect fraud or whatnot.
You will find a ton of buyers for your BTC on LBC/paxful as well without any verification, though, the reliability of funds can be questionable. I've also dealt with sardasa on the forum previously with selling BTC for their skrill multiple times, without any issues.