In graphite they are usually called “moderate” action. I like quick recovering (no flop), deep flex rods. I have never taken a liking to fiberglass even though I learned on glass and have tried many. To reduce fiberglass flop, one strategy is to stiffen the butt-mid and move the flex higher up the blank, which works, but reduces the sweet deep flex.
Lots of makers have had deep flex graphite rods over the years. Sage SLT and others, Winston TMF (and others), T&T Paradigms, list goes on and on. One of the nicest that I ever tried was a Sweetgrass graphite rod on a blank rolled by Burkheimer - and Burkheimer can set you up with any deep flex action you want.