Hello, I've been concerned about this for a while and i can't find one payment processor which do the following - Accept US banks - Accept variety of payment methods from europe - I'm not a registered company, i'm an individual who has online business - have instant payment notification like PayPal's thank you
2checkout.com maybe? I'm not from the US so I never really looked into that, but my friend who has been banned from paypal now use 2checkout for his shops. He's not from the us either, but just in case you can check yourself if it is a good fit, at least it is well known.
If you are from the US , the best option is paypal that fits all your requirements, but if you are not a fan of that , my next suggestion will be 2checkout...2checkout accepts cards from all over the world , has instant notifications etc..