The most common mic you'll encounter is the humble electret mic element, used everywhere. It may work with an electret, but
of course you need to provide some power to the electret (as you know), much like the design in the
earlier thread. So, you could try a similar scheme to power the electret, i.e. a resistor and a capacitor.
This design is a bit crude, but something like 100k or 470k should be fine for that resistor R4. By the way, the web page has
a mistake, it says use BC337 (an ancient transistor which is NPN, not PNP). They probably meant BC327.
Of course, if you're using an electret then you may as well use the earlier circuit, it is better. Unless you really need to run off 1.5V
like this circuit.