If you can acquire BTC anonymously, then you can acquire prepaid virtual credit cards anonymously. Most localbitcoins exchangers will happily do bank transfers for you without asking any questions either.

There's not many kinds of payments which aren't fairly easy to do anonymously.

Any recommendation on prepaid virtual credit cards which are accepted in EU?

Sorry, I have none. I never bothered to try acquiring de-personalised crypto, as I never needed any. The VCC idea sounds neat, but it's practically transparent for state actors. I think the easiest and safest option is directly exchanging cash for crypto at a crypto-ATM, if you can find any where you live. Downsides, you usually get a relatively bad exchange rate and they are often hard to find, if not forbidden. Or you buy privately, preferably from someone you trust not to cheat you, but you'd first have to find that person. The next-best thing might be to buy a relatively private coin like ZCash or Monero and exchange that for whatever else. But don't take that as advice, I'm not an expert. It's probably best you do your own digging.

Ezzocard has many. Exchange rates are bad, but it's a small price to pay for privacy.

These guys must be making insane amounts of money, would love to build a competitor.