The contrast with, for example, Russian, is striking.
AFAIK there are lots of German borrowings (and probably French as well, not speaking of Latin and Greek) in Russian. The alphabet and pronunciation do a good job of "hiding" them from the eyes and ears of foreigners, though ;-)
don't recall any remotely similar occuring in American english over the past 20 years; nor 50 for that matter :)
Think of all the words you know and probably use as a member of the American melting-pot - when you buy Chinese / Japanese / Mexican / Italian food, for example. Start with that and then dig deeper. I bet many of your "typical American" words are actually borrowings from all over the world, but because you have grown up with them, and they are deeply familiar to you, you don't ever think twice about it.
Just to introduce some balance into the subject. Borrowing words is nothing to be ashamed of - as I said, everyone's doing it! :-)