About twenty years ago something hit my front door. When I went to check what it was, an elk tried to come in! Thank heavens his antlers prevented his entry. I bopped him several times with the door until he backed off, then slammed and locked it.
Last year all the niehborhood dogs were barking, and mine wanted out, so I opened the door just in time to see a cougar on the far side of my deer fence around my yard. When it growled, the dogs and I decided they did not want out after all. That is a sound that will raise the hair on the back of your neck.