You don’t have to go to court even - there is usually a regulatory body that will enforce these for you. This is the whole reason why there is an image of America as sue-happy: they have chosen a regulatory system of “so sue them” instead of a functioning consumer protection system (or any authority with the ability to enforce the ADA, for example).

Suing people and companies is a national pastime in America. I really don't think the EU has an advantage there...