I guess I need to be a little more specific and post which plays I plan on reading. 
History: Richard II
Comedy: Twelfth Night
Tragedy: King Lear (in English and German)
Romance:  Cymbeline
I will also, hopefully, be doing more extensive research into Shakespeare's plays translated into German, dating back to the first translations in the mid 1700s to modern translations.  I'm thinking I can use this research as I write a paper for my German class, as well.