Honest opinions of Europeans towards Americans, and perhaps even vise versa?

I'm American, and personally find it a wonderful country. I find our history fascinating, the way we made a powerful nation out of literally nothing. I love being able to call my country the Land of the Free and the Home of the Brave. I admire America and my American ancestors as do many others, which I don't think is a just reason to call us arrogant and too patriotic. And what about the accents? American women practically swoon over British guys with the accent and all (I know I do!) but do Europeans find American accents unpleasant?I know you all think we are loud and authoritative, and I agree, it's just how many of us naturally speak, but not in a disrespectful way. I myself actually tend to think of British people as being very quiet and reserved. Americans think of Europeans in general to be attractive people, is that thought returned? Just curious. And please do elaborate on your thoughts of Americans and why many of you find us untrustworthy, ruining the world, uneducated, greedy, etc. And I also heard other cultures feel we smile too much but our smiles are void of any warmth or friendliness and our eyes appear cold and calculating.. That definitely doesn't seem the case to me. We do smile a lot, at strangers passing on the sidewalk or while just relaxing with friends, but it's not meant to be misleading or a sham of friendliness. And our eyes? Really? Americans do a lot of eye-contact, it's verypolite here, but isn't that normal in Europe also? Whoo, this was long. Sorry, just have a lot of questions that randomly sprung up! Thanks to anyone who answers!