Update: no one knows what's next. Probably a Safe Harbor 2.0 successor with stricter rules to be negotiated between EU and USA:
https://iapp.org/news/a/with-safe-ha...r-privacy-pros
In the meantime some companies are patenting methods they claim to solve the issue:
Anonos Technology Enables Internet Commerce And Data Use In Compliance With Growing International Restrictions - MarketWatch
Most of the real issues seems to be for Microsoft, Facebook etc.:
EU Safe Harbor ruling could have bearing on Microsoft email dispute | PCWorld