First, as many people willl point out ... you don't PROVE things in science. You only find supporting *evidence*. This is true in evolution, in other realms of biology, in chemistry, in physics, etc.
This is a *partial* list of evidence of evolution (sorry this is long, but there's a *lot* of evidence ... and you did ask for "as much as I can"):
1. Evolution reproduced in the lab or documented in nature:
a. Two strains of fruit flies lost the ability to interbreed and produce fertile offspring in the lab over a 4-year span ... i.e. they became two new species. (Easily repeated experiment.)
b. A new plant species (a type of firewood), created by a doubling of the chromosome count from the original stock (Mosquin, 1967).
c. Multiple species of the house mouse unique to the Faeroe Islands occurred within 250 years of introduction of a foundation species on the island.
d. Formation of 5 new species of cichlid fishes that have formed in a single lake within 4,000 years of introduction of a parent species.
2. Fossil evidence - (So much to list). The way fossils appear in the layers of rock always corresponds to relative development ... more primitive creatures in lower (older) layers. Absolute dating of fossils using radiometry. Constant discovery of new transitional forms. E.g. reptile-birds, reptile-mammals, legged whales, legged sea cows.
3. Genetic evidence - E.g. the fact that humans have a huge number of genes (as much as 96%) in common with other great apes ... and (as much as 50%) with wheat plants. The pattern of genetic evidence follows the tell-tale patterns of ancestral relationships (more genes in common between recently related species, and fading the further back in time).
4. Molecular evidence - These are commonalities in DNA ... which is separate from genetic commonalities ... much of our DNA does not code for genes at all. But random mutations (basically 'typos') enter into DNA at a known rate over the centuries. This is called the 'molecular clock' and again gives excellent evidence of when humans diverged from other apes (about 6 million years ago, according to this molecular clock), and this corresponds perfectly with when these fossils first appear in the fossil record (using radiometric dating).
5. Evidence from proteins - Proteins - E.g., things like blood proteins (the things that give us our A, B, O blood typing and the Rh factor (the plus/minus thing) which incidentally stands for 'rhesus monkey'); the exact structure of the insulin molecule; and my favorite, the proteins responsible for color vision. The specific proteins found in human color vision are exactly the same as those found in Old World primates (the great apes and the monkeys found in Africa and Asia). These proteins are absent in New World primates (the Central and South American monkeys), and from all other mammals. In fact among the New World primates, only the howler monkey has color vision ... but these use slightly *different* proteins, coded on different locations and chromosomes, than humans and the OW primates. This is yet more evidence of a closer link between humans and the OW primates.
6. Vestigial and atavistic organs - E.g. Leg and pelvic bones in whales, dolphins, and some snakes; unused eyes in blind cave fish, unused wings in flightless birds and insects; flowers in non-fertilizing plants (like dandelions); in humans, wisdom teeth, tailbones, appendix, the plantaris muscle in the calf (useless in humans, used for grasping with the feet in primates).
7. Embryology - E.g. Legs on dolphin embryos; tails and gill folds on human embryos; snake embryos with legs; marsupial eggshell and carnuncle.
8. Biogeography - The current and past distribution of species on the planet. E.g. almost all marsupials and almost no placental mammals are native to Australia ... the result of speciation in a geographically isolated area.
9. Homology - E.g. the same bones in the same relative positions in primate hands, bat wings, bird wings, mammals, whale and penguin flippers, pterosaur wings, horse legs, the forelimbs of moles, and webbed amphibian legs.
10. Bacteriology, virology, immunology, pest-control - I.e. the way that bacteria evolve in response to antibiotics (we can compare strains of tuberculosis today, with samples of older epidemics and can see the specific structures), or viruses (like HIV) respond to antivirals, or insects evolving in response to pesticides.
... And there's more ... a LOT more. I'm stopping only because I'm getting tired of typing, and I don't know if you're actually going to read this. (I and others have compiled lists in response to this question *so* many times ... only to get absolutely no reponse or comment whatsoever from the asker.)