The official deadline for the General Data Protection Regulation (GDPR) is May 25, 2018. If you don't know what GDPR is yet, then you should get up to speed.
There is an official discussion on how to make WordPress core compliant with GDPR. Those planning on attending WordCamp Europe 2018 might want to keep watching this page and the conference updates, as a GDPR related workshop is being planned.
Mike Jolley has written about the way WooCommerce is handling GDPR. This is important reading if you're in the eCommerce space.