Internet connections\, utilities, secure storage and operations and...
Big honk'n Dishes.
Perhaps something similar to http://dses.org
Of course, standard high frequency (HF) ham radio can not only reach the Moon, but bounce off of it, with very little delay. Simple satellites in polar orbit of the Moon, in a plane nearly equal to the path of the Moon's orbit around Earth should be able to relay HF signals to the far side.
Encryption of HF is problematic, so other means, more closely related to systems already in use for the ISS should be explored.