Again, tunneling is not an anomalie. Tunneling is just a consequence of the wave-nature of particles, you only need to know some basic quantum mechanics in order to understand it (you can ususally find examples of tunneling through a barrier in the first chapter in any text on basic quantum mechanics).
The so-called "transmission" of Mozart's 40th was just a demonstration, no new physics. Basically, Nimtz did not know what he was doing and when people startet pointing out that he was wrong he used this demonstration to attact attention; he did NOT transder information FTL in that experiment/demonstration.
The problem here is that in order to give a technical answer to why tunneling does not permit FTL transmission of signals you need to use relativistic quantum mechanics which is VERY complicated (but it has been known for a long time, I think Dirac added the relativitic corrections around 1930 or so), it is quite straightforward to calculate things like escape rate, transmission probablities etc but if you start taking relativistic effect into consideration it becomes very messy; fortunately the end-result is the same so you do not need to use the full equations; it is enough to solve the Schroedinger equation.
Quantum mechanics has not been exhaused, tunneling just happens to bea problem that i s very well understood,