Russia lost their single Su-37 long time ago, it was never operational. You might want to say Su-35 instead, although that's only in service in limited numbers. So I would say for the near future:
US= F/A-22, JSF
Europe= Typhoon, Rafale, Gripen
Russia= Su-27 upgrades, Su-30, Su-35
OR if looking at the operational types
US = F-15, F-16, F/A-18
Europe = Tornado, F-16, Mirage 2000, Gripen
Russia = MiG-29, Su-27, Su-33
Basically rules out Europe at the moment, it is far from a combined air force anyway, so no point to compare entire Europe with the US or Russia. And if looking per country none of them match up to the US in strength. But that doesn't matter as long each can support their own means and coalition/allied requirements and received enough training to do so with the available means.
When looking at Russia, they are far behind with fleet upgrades compared to the US. One US squadron does probably more training flying than one entire Russian airbase...
Another great power is China, which is fastly modernising its fleets with new types, building up its inventory. The large number of aircraft makes it strong in a traditional air battle, but it doesn't make it good.