1. Most of biology, biochemistry, organic chemistry, genetics, comparative morphology, developmental embryology, immunology, bacteriology, virology, zoology, and botany ... all of these fields are so reliant on evolution as a central *CORE* idea. that to deny evolution would reduce them to disconnected, unrelated shreds.
2. All of taxonomy and cladistics ... the *classification* of organisms into a hierarchical *tree* of related groupings. The entire structure of kingdom, phylum, class, order, family, genus, species, subspecies breaks down without evolution (and diverging ancestry) to *explain* it.
3. Much of medicine. The development of vaccines and antibiotics depend on evolutionary principles, as well as epidemiology (predicting where the next epidemics will arise from last years bacteria and flu viruses). The treatment of diseases such as AIDS, where we use evolutionary principles to control the mutations of viruses, and keep their population from rebounding. The testing of medicines on animals (as knowing what animals share what systems with us depends on knowing evolutionary relationships ... e.g. knowing what kinds of insulin are candidates for human use would be reduced to total guesswork without an understanding of evolution). Etc., etc.
4. All of paleontology (the study of fossils). Everything from the way fossils are dated, to how they are compared structurally, to stratigraphy and biogeography (the depth and location of fossil finds) has to be rejected outright to avoid admitting evidence of long-term evolution.
5. Most of geology. From continental drift, to basic geologic timescales, to the mechanics of igneous and sedimentary rock formation (as these mechanisms are key to dating fossils), to the mechanics of erosion (as these are key to explaining things such as the exposure of polystrate fossils/petrified forests to the formation of the grand canyon or the burgess shale and the fossils they contain).
6. Physics of radioactivity. As this is the basics for the science of radiometry ... measuring the age of rocks and fossils based on radioactive decay. A creationist has to reject the basic notion that radioactivity is constant ... but to such an absurd degree that the phycisists, geologists, and geochronologists are off by *MANY* orders of magnitude.
7. Physics of light ... including Einstein's theory of relativity. If the creationist insists on a young age not only of life and the earth, but of the Biblical age of the *universe*, then they have to reject the basic relativity result that the speed of light is a constant. A widely variable speed of light is the only way they can refute the distance of far galaxies into the billions of light-years away.
8. Most of astronomy and astrophysics and all of modern cosmology. Including the processes for the formation of the earth, stars (like the sun), and galaxies ... as these establish the *timescales* during which life on earth could have evolved. E.g. the age of the earth as established by geologists by dating rocks, is confirmed by astrophysicists by their calculation of the age the sun and its planets, and by astronomers by observing similar stars to the sun.
... But wait! There's more.
Besides all the specific fields mentioned above, the creationist also rejects the very BASICS of science. By this I don't just mean mangling basic concepts such as the 2nd law of thermodynamics, or information theory. But things like demanding that supernatural explanations become a part of scientific explanations. Or mangling the concept of "theory" as if it meant "unproven fact." (Hint: a theory is NOT an "unproven fact" ... it is an *EXPLANATION* for facts.) Or thinking that science is based on "proof" instead of *EVIDENCE*. Or that science is about what you *believe*, when science is really about what you *understand*.
So I guess what they would have left would be a bit of chemistry, electronics, and computer science (but not adaptive algorithms).
Oh, and I suppose that we would still have oil, gas, and coal to generate the electricity ... but they would all be completely mysterious without an understanding of where these "fossil fuels" came from (hint:, these are the products of millions of years of accumulated dead plants and animals).