Elder Scrolls Online's Update 6 will introduce the Champion System, which is a "new way to continue your character's growth and customization" at endgame. Once you reach Veteran Rank 1, the system unlocks across your account and allows you to gain Champion Points for participating in activities that normally grant experience.
Only VR-level characters can earn the new points, but once earned the points are available to any of your avatars.
There's also a new account-wide mechanic called Enlightenment that builds over time regardless of whether you're logged in or not and grants a bonus to Champion Point progression. More details on the new system are available on the official ESO website.