In Norway, every tax return is public. Would this make a difference?
The Panama Papers (in which, incidentally, Americans are emphatically missing), the result of a successful hack on the Panamanian trust office Mossack Fonseca, sow a storm of dismay in politics and business. Icelandic President Gunnlaugsson was forced to resign after fierce protests from enraged Icelanders and many other politicians and celebrities were also in dire straits.
While many tax laws are so ludicrous that they actually beg to be evaded, a significant portion of the tax money is used to do useful things. In that case, it makes sense to introduce low, but unavoidable taxes. Paying taxes must also become a matter of honor again. At the moment most people consider someone who pays a lot of taxes to be a schlemiel.