Medical Documents for a move to Germany

The answer to this depends, once again, on which of the two streams of German health insurance you want to or must (as you often have no choice) join: public or private.
In the public scheme, you are admitted regardless of medical pre-conditions and health status. Thus you need to bring no records at all.
In the private scheme, your membership and fees are determined solely by your age, health status (and pre-existing conditions can be excluded or cause surcharges). You will have to attend a thorough medical screening - and here your records might be considered (but most likely they will trust their contracted doctors rather than your foreign records).
In any case, records of prior treatments are helpful if the condition returns, so it is certainly good to bring them along.