Pick a single anime and song that fit (typically based on styles like psytrance music plus cyberpunk anime).
Showcase the story or idea from the anime within the confines of the song.
The scenes should naturally fall into place chronologically.
Either that, or pick a more specific theme than Action.
In that case, I suggest picking one anime, and find a theme from within the anime itself like Power or Honor.
Google might help; then try to identify themes as you watch the anime to hunt for clips.
And vary your clips too. Don't just use characters. Use scenery and objects as well.
Just try to make the scenes connect somehow; chronologically, through motion, common imagery, style etc...
If you do that, you shouldn't have much trouble finding clips, since they all connect somehow.