I have thought about this too. I have a Wells Fargo account and it is simple to send someone money that also has a Wells Fargo account. From what I have seen this is standard fare in Europe. As long as the parties know each other I don't see a problem with it. It is a lot easier than using paypal and there are no fees involved either. The only downside is you have to be able to trust the other person.
Anything to get rid of paypal is fine with me frankly.