You can get a very rough idea of how countries are doing by looking at the tests per capita figures here: https://www.worldometers.info/coronavirus/ (click to sort). Obviously this isn't the only aspect that matters, but it's going to be hard to get a more detailed view that doesn't just tell you whatever country you're in sucks compared to everyone else. The major countries with widespread coronavirus testing on there are - in order - the UK, Russia, the US, Spain and Australia, and I can tell you that our press here in the UK has been pushing almost as hard on the narrative that we're falling behind the rest of the world in testing for coronavirus as the US media.

Naturally, publications like the New York Times have carefully worked to leave their readers with a much worse impression of where the US falls on this specific ranking than reality.