The best replacement for action verbs is linking verbs.

The best alternatives to action verbs are rated as following:
★★★★★  linking verbs
★  passive verbs
★  helping verbs
★  verbs
★  state of being verbs
★  to be verbs
★  state verbs
  stative verbs
  being verbs
  non-action verbs

Your alternative for action verbs is not listed? Suggest!
Speaking about action verbs, one probably shouldn't forget about helping verbs.

Other search terms related to action verbs and their ratings are:
★★★★★ helping verbs
You have in mind a companion for action verbs and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of action verbs in all years. Click on graph for more.
action verbs
linking verbs
passive verbs