Equestria, a whole lot of weird stuff tends to happen in Equestria. Is this stuff connected? Maybe. If one tries to connect the stories, will they go insane? Most likely. They might even throw away their common sense grow an afro. Are all of these stories based on ridiculous prompts? You bet your sweet plot they are.
Every pony, griffon, dragon, tree, rock, draconequees, and zebra will find themselves experiencing these odd events. Rainbow Dash just might travel through a dimension or two.
May Celestia have mercy upon us all.