The Midrash Project at the Schechter Institute of Jewish Studies in Jerusalem is publishing a series of books on midrash, including critical editions of at least eight midrashim. The series is being edited by Profs. David Golinkin and Shamma Friedman. Each critical edition will present the midrash based on the best manuscript, and will include selected variant readings, reference to parallel sources in Rabbinic literature, and a critical commentary.
Three books from the series have been published thus far and the fourth will appear in June, 2014:
Legends of the Jews by Prof. Louis Ginzberg, three volumes plus an index volume, second Hebrew edition, edited by Prof. David Golinkin, 2009
Midrash Shmuel, edited by Prof. Berachyahu Lifshitz, 2009
Midrash Hadash Al Hatorah, edited by Dr. Gila Wachman, 2013
Midrash Esther Rabbah, edited by Prof. Joseph Tabory and Dr. Arnon Atzmon, forthcoming in June, 2014
Synoptic editions of Midrash Shmuel, Esther Rabbah and Kohelet Rabbah are also available on the Schechter Institute website:
Kohelet Rabbah, edited by Prof. Marc Hirshman and Dr. Reuven Kipperwasser
Ruth Rabbah, edited by Prof. Meron Bialik Lerner
Eikhah Rabbah, edited by Dr. Paul Mandel
Shir HaShirim Rabbah, edited by Dr. Tamar Kadari
Midrash on the Repentance of the Prophet Jonah, edited by Dr. Tamar Kadari.