Well an awful lot of "science" isn't science using that criteria.
Cosmology for a start. Their are plenty of competing theories as to the nature of the beginning of the universe that cannot be proven or falsified.
Has anyone proven/falsified any of the following?
Inflation
Big Bang
Dark Matter
Dark Energy
String Theory
Multiple dimensions (beyond the three we know about)
Multiple universes
Branes
None of those have been falsified. No scientific theories are ever actually
proven, but some are more thoroughly tested than others.
The four-dimensional nature of spacetime is supported by an impressive body of
direct experimental evidence, so the physicality of multiple dimensions (beyond the three
you know about) is about as well established as, for example, the germ theory of disease or the theory of evolution.
The
evidence for a cosmological big bang is also quite impressive.
Inflation, dark matter, and dark energy are hypotheses that have been proposed to explain a variety of observations. These hypotheses can be tested by working out their consequences and making further observations. Although these hypotheses are not as well-established as the theory of relativity or big bang cosmology, the testing conducted so far suggests they are more likely than alternative hypotheses.
String theory and branes are broad families of proposed theories. From what I understand as a non-physicist, some variations of those theories have been tested and found wanting. Other variations of those theories remain viable.
"Multiple universes" can refer to a wide variety of ideas, most of them controversial. If they had been falsified, however, they would not be controversial.
ETA: Getting back to Jerrymander's statement, most of the items in smartcooky's list are indeed falsifiable (which is to say, they do make definite predictions that can be tested via experiment or observation). Multiple universes (possibly depending on what you you take that to mean) might not be falsifiable. Some specific string or brane theories might not make testable predictions, but the fact that some have already been falsified shows that unfalsifiability is not a charge that can be levelled against all such theories. All of the other items in smartcooky's list are falsifiable, but have passed the tests conducted thus far.