I think you weaken your position a little by exaggerating here. The laws of gravity or motion or electromagnetism or just about any observable and repeatable laws are the most well-supported.
You might think so, but it's not quite so simple. If you consider simple precision, quantum electrodynamics, the most accurately-measured theory in physics, is measured to an accuracy of about 10^14 or so.
By contrast, being confident of the relative relationship of just 20 different species is equivalent to a measurement accuracy of about 10^20. See here:
29+ Evidences for Macroevolution: Part 1
So no, I'm really not exaggerating. Now, granted, there are lots of different ways of comparing how "well supported" various theories are, and none of them are really non-arbitrary, presuming the theories aren't directly competing with one another. But I really wasn't exaggerating when I said that evolution is perhaps the single most well-supported fact in human history. These others you mentioned would also be contenders, for different reasons, but I don't think you can definitively say they're better-supported.
Evolution by natural selection is not as well supported; it is largely based upon historical deduction and as far as I know there is no observable and repeatable method to create life from dirt, yet.
This is really a parochial and simply false understanding of how science works. Scientists really don't care about repeatability per se when verifying theories. They care about
independent verification, which can include repeatability, but doesn't have to, and is actually quite a bit more powerful.
Simple repeatability just means that a different scientist somewhere else can do the same work and get the same answer (provided everything was done properly). This is important, but it isn't enough. This can be done in any sort of observational science, because any observation anybody makes can, in principle, be made by anybody else. All that repeatability gets you is simple facts: Yes, that bird indeed has green plumage. Yes, this weight indeed rolled down the hill at 3 meters per second per second. Yes, the input of three joules of heat increased the temperature of this volume of stuff by one degree centigrade.
But for science, that
isn't enough. Verification of collected facts is important, but it is also insufficient for understanding. In order to really understand things, you have to compare different sorts of facts to one another. That is, a theory links observations that we might otherwise think are disconnected. Take gravity, for instance: gravity unifies the behavior of rocks dropped on Earth and the way the Moon goes around the Earth. Without this theory, we might think that the rate at which things fall has nothing whatsoever to do with the fact that the moon takes one month to go through its cycle. In fact, before Newton, people had no idea that those two facts were related at all.
The way that you verify that these very different facts are related isn't by demonstrating that some scientist in a lab didn't make errors. Instead, a theory, by its very nature, states some crucial underlying fact about reality (in the case of gravity, that it's an attractive force between any two objects proportional to the product of their masses divided by the square of the distance between them).
This underlying fact, if the theory is a good scientific one, makes very specific predictions about how a wide variety of experiments should turn out. It relates, for instance, the rate at which objects fall at the surface of the Earth, the radius of the Earth, how long it takes for the Moon to go around the Earth, and the distance from the center of the Earth to the center of the Moon. These independent facts can be checked in various ways, and Newtonian gravity makes very specific predictions for how they must be related to one another, and in fact to the relative motions of any two objects in our solar system (or elsewhere).
And verifying common descent can be done in this exact same way: common descent makes a tremendous variety of predictions that can be verified by cross-checking the results of very different observations. We don't know that evolution is correct because we've been able to demonstrate that the avian lung and feathers always go together. We know that it's correct because the theory relates a tremendous variety of fact about organisms to one another, making very specific predictions about how future observations of different facts should turn out based upon the facts we already know.
To sum up, the power is not in verifying that the distance to the moon is actually the parameter that Joe Bob measured it to be, which is all repeatability gets us, but rather in showing how a wide variety of observations all have the relationships to one another predicted by the theory in question.