Just to put my two cents out there in case someone knows someone who does this. I consider what Apple does to be exactly what I want on the web. I just fork over 30% (no minimums) and literally never think about it. I get that I need to integrate for the web, but I don't want much more than that.
I'm not trying to build a big business, just some side stuff where any time spent on payment processing is a huge impediment. I don't want a merchant account. Subscriptions would be nice.
I'm a little confused what you're asking for. Do you want them to run the web store as well, so you really don't have to think (such as yahoo does?), or do you just want somebody to process transactions for you, (such as PayPal, Amazon Payments, and Google Checkout do?)
For somebody willing to drop 30% (or even 3%-5%) on a payment processing solution, there are lots of them.
But, I bet we could convince Steve Jobs to create "Apple Payments", and charge you 30%, and I bet there are a lot of people who would do it.
Basically no minimums and no merchant account. My account is with whoever is providing the service and that's it. Apple does a great job of making is seamless -- so I would want the equivalent of that for the web. I feel like Google Checkout + app engine could get there, but they don't do subscriptions.
I'm not trying to build a big business, just some side stuff where any time spent on payment processing is a huge impediment. I don't want a merchant account. Subscriptions would be nice.