Interesting, A-G. Of course, science must have more than "explanatory power"; in order to be science, it must also be able to make predictions. Now I wonder: What predictions does/can neo-Darwinism make? Somebody??? Anybody???
You've been around too long for such a question. In a nutshell, given the theory that all life is descended over time from earlier forms, one never-disproved prediction is that any fossil that is found will fit into that framework (Piltdown Man didn't, and turned out to be bogus). There is also the prediction that transitional forms once existed, and some of them may therefore be found. Many have indeed been found. Here's a load of such evidence, which I'm sure you've seen before, but maybe haven't studied: 29+ Evidences for Macroevolution.
Aw, did you neglect to read the thread once again?
An abundance of transitional forms?
A reconciliation between the first law of thermodynamics and general relativity?
Repeated incidents of spontaneous generation?
New forms of life appearing regularly?
Five to ten new human base pairs added annually?