We've seen a number of lawsuits posted here on HN with EU companies, either going after other EU companies, or US companies, or other EU <-> US <-> AU lawsuits. Sure a lot of it involves the bigger shops like Microsoft/Google/Facebook, etc .. but don't go saying it's not a litigious society.
Lawsuits are used in a lost of western and eastern countries to try and right wrongs. Many of them use lawsuits to troll and money grab as well. It's not unique to the US.