I can try and answer this question by referring to 2 angles of approach.
The first one is the demand, and this has to correspond with the basic laws of physics- meaning- today, we would want an aircraft that is capable of Mach 2, stealth, can achieve such and such turn radius by let's say, 30 AOA, carrying such and such armament, etc.
The second approach would be evolution. Just like in nature- they look that way because they evolved that way in order to achieve the demands noted above while trying their best by fighting the laws of physics.
a fish didn't become a bird in 1 day, same as one engineer decided one morning that he/she is gonna build the F22, just because he figured out the numbers.
It's a long process of trial and error.
For example- Jet engines need air, hence the big intake if front. They need yaw control- so they have a fin (1 or 2, depending on the characteristic of the aircraft in high AOA, like in the F15- that has 2, simply because if it had 1- it wouldn't have met any air during high AOA maneuvers and enter a spin very quickly).
The F16 has 2 lower fins in order to compensate for the loss of airflow on the rudder in these situations.
Phantoms were shot down a lot because the cockpit was like a tank- they couldn't see anything. F-16- almost 360 field of view. F-35- less outside view because first- they don't need to see a lot outside their screens, and second- to maintain a more streamline contour of the whole body for stealth.
Leading-edge extensions look that way because they produce more lift and maneuverability, and nothing more.. As the physicists found during tests.
As in every industry- all fashions go together with what works (same for evolution)m and progress slowly to a better result.
As for my opinion, I don't think that if you need a fast maneuverable aircraft- we will not see very different designs in the near future unless there is some breakthrough in flow mechanics or propulsion science.
It's only a methodology to look at this subject, and it's progressing all the time.
I never heard an including name for them though :)