If we took the "leading" European Corona countries until we get to 330 million people, we'd add up UK, Spain, Italy, Germany, France and Sweden. When looking at those combined numbers vs. the US numbers it seems to me that they are in the same league. From the numbers alone the US is at this point not doing worse than others.
The worrying part is that in the "European bloc" as defined above the virus is on its way out (except Sweden, but they're a small country) and the numbers are declining considerably, whereas the US numbers are still on the rise. So the real comparison will come when it's all over (whenever that may be, perhaps never).
My preliminary guess is that the US did well at first, but then opened up the economy too soon, so now there is a second wave, which started in mid-June and already overtook the first wave.