The foundation for speakers design was laid out in the 1930's, and, within limits has not changed much since then. However, a big transition in the refinement and exactness of speakers designs came about in 1961 when two Australian Engineers named Thiele and Small published a paper that exactly modeled and provided formulas for precise and predictable combining of audio drivers with cabinets. Unfortunately that paper got little attention until it was republished in 1971. That became the foundation for modern speaker design.
Wikipedia - Thiele/Small Speaker Design Parameters
The next advancement came in cone material. In the beginning, speaker, especially woofer and midrange, cones were made of some type of paper, and many still are. But we have many other cone materials now, and even many composite materials - poly, aluminum, kevlar, poly coated paper, various 'sandwich' combinations. One of the reasons for the stunning clarity of the Focal brand speakers, is their composite sandwich cone construction.
The goal it to come up with a cone material that is both ridged and light. One would assume aluminum would be good choice, ultra light, ultra strong, and certainly ridged. But aluminum will have a tendency to have a nasty break up region on the high end, and this complicates crossover design, and the drivers use in a 2-way system.
These quirks of various materials can partly be over come by the manufacturer also custom making driver specifically for their given application. Cone shape, mass, rigidity, impedance, and many other parameters can be controlled if you know what you need.
Since Theile/Small and the invention of many exotic cone materials, designers and engineers have been refining the processes for driver and speakers design. That subtle and slow refinement of the processes are about the only improvements in common speakers in the last few decades.
However, the greatest refinement typically occur in the more expensive speakers. Then as refinement of the manufacturing process and the shear volume of scale driver the price down, these highly refined design aspects and drivers make their way into lower models.
Each particular type of driver and driver material has its own characteristics, part of speakers design in know what characteristics are suitable for you task, and how to best blend them into the job at hand.
There haven't been any big breakthroughs lately, that I am aware of, more so it has been a steady creep of refinement making its way down to lower cost speakers.
Can we ask WHY you are asking?
Steve/bluewizard