There's code for this merged in https://gerrit.wikimedia.org/r/#/c/312327/ but it needs some work before we can release it.
* https://www.mediawiki.org/wiki/Beta_Features/Package work:
** Re-word name (current value is "Video.js" which isn't helpful).
** Re-word description (current value is "Updated audio/video player with cleaner look and mobile compatibility." which isn't good enough).
** Re-do screenshot (current one is https://gerrit.wikimedia.org/r/#/c/312327/39/resources/BetaFeature_TMH_VIDEOJS.svg not in keeping with the rest of the set).
** Create a description page for the beta feature on MW.org.
** Create a discussion Flow page for the beta feature on MW.org.
** Add a compat block for JS (at least).
* Make sure everyone's happy (Product&Design review. Security review. Performance review.)
* Enable the BF in Beta Cluster and test a fair bit.
* Announce and release.