There is a variation of the dynamic mic known as the ribbon microphone.
In place of the diaphragm and coil there is a thin corrugated metal ribbon. The ribbon is located in the field of a magnet. When the ribbon vibrates in response to sound it acts both as diaphragm and coil, albeit a coil with only one turn.
Since the ribbon is very light, it has a much clearer sound than the conventional dynamic, and it is reasonable to say that many engineers could identify the sound of a ribbon mic without hesitation.
If the ribbon has a problem, it is that the output of the single-turn 'coil' is very low. The ribbon does however also have a low impedance and provides a current which the integral transformer can step up so that the voltage output of a modern ribbon mic can be comparable with a conventional dynamic.
Examples of ribbon mics are the AEA R84, Coles 4038 and Beyerdynamic M130.
Great home recording starts with a great home recording studio. It doesn't need to be expensive if you know how to select the right equipment for your needs.