There was some debate in the early church over which books should be considered part of the Bible, both as to the Old Testament and the New Testament, but eventually all of the so-called "deutero-canonical" books were accepted (which were extant only in Greek, not in Hebrew). I believe all of the Eastern churches accept all of the books Luther excluded, and in some cases have one or two more that the Catholic Church does not accept.
Luther essentially went with the Jewish canon for the OT, but as I understand it the Jewish canon wasn't fully decided until some time after the time of Christ. Obviously the Torah was accepted much earlier.