Please show evidence for any complex adaptation being generated _specifically_ through random mutation + natural selection.
Most of the past 150 years of biology has only done neo-Darwinian speculation. The hard science has generally dealt with other forms of change.
Define "complex adaptation." How do we distinguish a sufficently complex adaptation from a non-complex one for the purposes of your criteria?
Secondly, what qualifies as a random mutation? Does retrovirus infection count? UV damage? Changes in ploidy? Or only errors in replication? Normal sexual recombination is random to a certain extent. Does that not qualify? Why not?