The nuclear moments database is sponsored and hosted by the IAEA Nuclear Data Section.
See the latest official release here:
This is a major update with cutoff date 30.06.2016. The next is scheduled for 30.09.2016.
On the parallel, on the development server (always on beta status) http://data.magneticmoments.info
a new database is being tested that additionally includes nuclear charge radii and nuclear masses (in fact mass excess values).
This database is currently in sync with the IAEA servers, but will eventually branch out (early next year).
My recommendation is to follow the official releases on IAEA web if you want to use it in a paper (please cite the database using the citations listed in the server). If you can’t wait for the official release, try the development server, where more features are and will be available as the site expands.
Typos, comments or missing values? PLEASE let me know about it (thanks in advance!)
The blog is also there for more resources http://magneticmoments.info/wp