Walk into your local university library sometime, and
take a look at the section which contains biology journals.
If the library is at all well-stocked, you should be able
to find thousands of volumes. The conclusions reached by
the articles in all of these volumes depend on evolution
either directly or indirectly. If evolution were not true,
the information in those journals would have tumbled like a
house of cards long ago. But it hasn't, and that
more than anything else shows it to be an accurate
description of reality.
If you think the scientific method is about "proof,"
then you don't understand the scientific method.
Nothing is science is "proven," even the most basic
and fundamental things we've learned from science. "Proof"
only exists in logic and mathematics; what science has is
evidence. In the case of evolution, the evidence
most clearly weighs in its favor. Science doesn't proclaim
evolution a "fact" with casual ease; it does so with over a
century of evidence and investigation backing it up. See
the Evolution is a Fact
and a Theory FAQ for more details.
Furthermore, your understanding of the "fundamental
requirements" of the scientific method is simplistic at
best. What science requires is observations; the
more the better. We don't have to travel back in time to
observe actual living dinosaurs to be able to study them
any more than we have to travel to a distant galaxy to make
observations of the stars there or travel to the center of
the earth to know what the earth's core is composed of.
Many sciences, such as astrophysics, geology, paleontology,
and meteorology, involve making observations about
processes that we can't control directly, but that doesn't
make them any less scientific.
Evolutionary theory is a valid scientific theory, and
not simply a tautology. See the Evolution and Philosophy
FAQ.
As for predictions made by evolution, there are lots and
they are observed. For example, evolutionary theory
predicts that intermediate forms should be found between
major categories of biological life. We've found many of
those, the most famous of which is Archaeopteryx, which has
features in common with both modern birds and reptiles.
Since then, we've found other intermediate forms which are
either more "bird-like" or more "reptile-like" than
Archaeopteryx. What you have stated about Archaeopteryx is
simply incorrect; see the Archaeopteryx FAQ for
more details.
Examples of transitional fossils are abundant. See the
Transitional Fossil
FAQ for a list of some.
Evolutionary theory makes predictions. For example, it
predicts that we should not find mammalian fossils in rocks
from the Devonian Period. Guess what? We don't.
Instead of telling scientists what science says, why not
listen to what they say science says? Chances are,
they're more likely to be correct.