By now - 2015 - I found a lot of public codes:
I'm exploring the very well documented CESAM2k (you can find it).
It is very complete, graphics output via PGPLOT, but it is 1D and no MHD- MagnetoHydroDynamics . I'm glad it is not huge, as mesa is, because I intend to include a new module, had the time, patience and skill.
Here is a 2014 review of the codes
There is available a recent 'ESTER project', to be found on GitHub, and the
AMUSE, for Astronomical Multipurpose Software Environement.
I was searching to download the TGEC code (Toulouse-Geneva Evolutionary Code) but I failed to find a link. If someone can help,...
Both TGEC and CESTAM (a derivative of CESAM) include the rotation effects.
I need a code not very extensive, complete from first principles, ie no concession made to less motivated code just to be more aligned with the data (from 2000 +- I see a lot of 'unexpected' isotopes mismatches between theory and observation).
A code can be aligned with data and, nevertheless, be wrong. An example from EM:
If we know the current sources we can derive the EM field.
If we know the EM field there are several possible source currents (The solution of the inverse problem is problematic)
A 3D code is very interesting because the centrifugal force is latitude dependent.