Menander did not reach us. The New Comedy dramatists works were not part of the Byzantine school curriculum, and, at some time in the Dark Ages, the last manuscript was reused for other purposes.
A post in the CLASSICS-L list tells me that a manuscript was found in the Vatican in 2003, manufactured from reused parchment from a late-antique codex containing works by Menander. Apparently hundreds of verses of this author can be recovered from the pages.
F. D’Aiuto: Graeca in codici orientali della Biblioteca Vaticana (con i resti di un manoscritto tardoantico delle commedie di Menandro), in: Tra Oriente e Occidente. Scritture e libri greci fra le regioni orientali di Bisanzio e l’Italia, a cura di Lidia Perria, Rom 2003 (= Testi e studi bizantino-neoellenici XIV), S. 227-296 (esp. 266-283 and plates 13-14).
But the posters says that this “did not publish entire Greek text, and that in 2006 we were “still waiting” for an edition. ”