Both have things going or them.
What you don't get in the US is 3000 years of culture. What you don't get in (much of) Europe are the living standards of the US.
In the US you can live in the freezing winters of Minnesota or the arid heat of an Arizona summer, and never change country, language or (for the most part) custom.
In Europe you can "get by" with English in most places (although try asking for cat litter in rural France and you'll be facing a stupefied grin).
Custom and culture vary widely (and wildly) between counties too. Want an electrician or a plumber in Greece? "I'll be there in an hour!" - he won't tell you which hour though (or even which day).
Food, consumer goods, and property are also far more expensive in Europe (except in some of the recent admissions to the EU, and even they are catching up fast).
I've lived in both. I'd like one day to make it back to the US for an extended period, I guess I was most comfortable there.
