You can search for this library's new acquisitions in u:search:
You can find older acquisitions (up to one year) with the New Acquisitions Search Page.
The Library of Byzantine and Modern Greek Studies also offers a monthly newsletter of its new acquisitions called „Zephyr“.
If you want to subscribe to this mailing-list, please send an e-mail to fb-byzantinistik.ub@univie.ac.at or register yourself on the website of Zephyr.