African elephants spring to mind. The US have imported many scheduled to be culled which have now been incorporated into the breeding program.
It's such a win-win given it saves the animal's life, rods the local area of a problem and introduces fresh genetics from founders into the population. Similar to when half grown Polar bear cubs have been raken in after encroaching on human settlement. While culling of Polar bears is not commonplace, immature bears would not survive long in the wild and so become a dangerous nuisance as they pursue easier options of finding food.