Neither Spotify, Arm, or ASML have been bought by US companies.
This is easily shown by their Wikipedia pages.
Arm being the one that's currently listed on the nasdaq exchange and otherwise owned by softbank isn't a totally compelling example of a European company
Just because it lists in the US doesn’t mean it’s a US company.
It is also not a US company. Where it's listed doesn't matter much. It matters where a) headquarters and other significant physical presences are located and b) where the majority shareholders reside. In that regard it is largely a European, and partially a Japanese company.