The closest thing to PayPal in Europe is probably Klarna, albeit they put a stronger focus on their credit product, you can use it to just pay up front.

Wero is being rolled out slowly as an alternative to the Visa/MasterCard duopoly, but that’s a bit different to what you’re asking

Edit: I’d forgotten, but Curve bank could be a viable option, but I’m not sure if you can get it outside the UK