It was good while ago, but last time I bought a car I just did bank transfer. SEPA transfers are entirely free. Was kinda amazed that they just handed me keys when I showed them the receipt from my own online bank...
It's a calculated risk. They know the VIN number and I assume made a copy of your photo ID.
This requires trust, which, depending on where you live and who is the seller, may be a little bit risky or attract scammers.