This is probably one of the most portrayed horsemen ever. This statue was created around 1225; its meaning is still unclear. Because of the horseman's crown it is supposed that he represents a king (which would exclude the possibility that he is a German emperor). Because of the baldachin above his head he might be a saint; there are various crowned saints (Stephan I, Heinrich II) in history, but if he represents a real or spiritual person is still an open question.
Remarkable are the horseshoes: they are the first depiction of horseshoes in history. Another oddity is the 'green man' (a face made of stony Acanthus leaves) that you can discover in the right-most position of the base the horseman is placed on.
Nazi Germany of course abused the horseman's classical beauty, seeing sort of a German ideal in it. But I doubt that this definitely dainty and civilian horseman would have been a devotee of megalomaniac power politics and genocide.
This is no replica; it is the original statue from the 13th century. The only difference to its appearance in former times is the missing colour. Here you can see a scientific reconstruction of how the Bamberg Horseman looked many centuries ago.