Chaosmancer
Legend
There is no reason martial abilities can't break the action economy. In fact, that would be a cool differentiator btw martial and caster.
You spin and jump around like a devil and make one attack against every target within 30 feet, at the end you end up next to the last target you attack. This does not use a move action. Roll 1d6 for each target hit-- the target must make a save or be 1-2 blinded, 3-4 dazed, 5-6 stunned
You use a a combination of feints, grabs, taunts, whatever. Every enemy within 30 feet of you ends up to you and you make an attack on each. {this is come and get it but if taunting doesn't make sense in the narrative you just grab that wizard and yank him over)
You do whatever action hero like move you need to move from point A to point B within 120 feet if at all remotely possible. The DM may alter the narrative to make this so if needed -- the dragon swoops down at just the right time for you to bounce off its head, the tree branch breaks but momentum send you closer to another branch to swing off of, you smash through a number of enemies on the way over, etc. {this is a poor man's dimension door but would still be pretty good compared to today!}
I can see how to do this with the system I made, though as designed it would be a high level attempt for the first two.
I'm not sure how to quantify the dimension door, but I do have ways to improvise in specific situations, if something doesn't fit into the more structured Combat Arts I did design.
One of them (it is a 13th level art) allows for a fighter to teleport 20 ft, attacking any number of creatures within 5 ft of the line of that teleport... as an attack, so a fighter could potentially end up teleporting 80 ft and making multiple attacks during it. I did make a stipulation that there has to be a valid attack target along the path though. No teleporting up to a balcony (though they don't need it with the new jump rules)