so what?
there was the holy roman empire (is that like a religious empire with the POPE as supreme commander basically).
Not quite - the POPE crowned the "emperor" - the first being Charlemagne - but this "Empire" wasn't as much an Empire as a loose confedaration of German(ic) kingdoms and principalities.
and the roman empire (the one the controled Northern England to Northern Africa).
This was the "original" Roman Empire, and doesn't come into play in this discussion - This WAS an Empire, in the sense of the word.
the second reich was under bismarck?
Not UNDER Bismarck, who was Chancellor, Although under his influence, William I (king of Prussia) was declared Kaiser of the the 2d. Reich. This remained a relatively unified (under Prussia) federation of German states. Bismarck was chancellor to William I, Frederick (only for 100 days) and William II (Queen Victoria's grandson).
and the third reich was hitler?
Yes.