Joomla! is one of the major web frameworks and is planning to incorporate GDPR and privacy specific features in the next release. They've been listening to their users, and intend to integrate a Privacy Tool Suite in the Joomla! CMS to facilitate the compliance of sites and to make developers’ life easier to get their extensions compliant. The following are the major features announced:

Provide an API for extension developers so they can report the data they collect and this info can be displayed in the new com_privacy extension

• Gain the consent of the registered users (form plugin), track their consent, log their activities, and take care about the consent retention time
• Make it easier to the users to submit information requests
• Track the status of the users requests
• Let the user access and download their data.

You can read more on the Joomla! site