The word 'recent' is highly subjective. However, the most popular example for a recent example of natural selection is the peppered moth. Due to the industrial revolution (which you could say as "recent" on the scale of natural selection), the black moths were able to camouflage better than the white moths, so 'natural' selection led to the higher abundance of black moths as white moths declined.
For punctuated equilibrium, I think you can settle with a species that has been drastically affected by human interference such as an introduction of a foreign species into its environment. For example, the red-bellied black snake had to evolve since the cane toad was introduced into its environment. Assuming that the environment didn't change before then (hence a period of virtually no evolution), the rapid evolution was due to the fact that it couldn't eat the cane toads and stay alive lol. I'm not completely confident on this example, but I think it's the type that they're looking for.
