I just noticed that nobody here has given an example of prepaid cards yet. This solution can also be great for buying bitcoins anonymously, of course, I mean a limited number of them because these cards usually have not very high limits, but most importantly, when buying them, we will often avoid KYC (probably not always, but if we look well, we will find many). One example found within 2 minutes:
VIABUY CARDCould be a great alternative instead of using credit or debit cards but unfortunately, almost a few of us know it or already using it. We don't know also the safety issues that hold this card and I believe also that every VIABUY cardholder is traceable, and might need KYC before it gives to you.
Well, I don't see any safe way other than using reputable exchanges. I respect that risk still there but that was lesser than having P2P or direct buy and sell transactions.