My favorite episode was the one with William Shatner who had a fear of flying, sitting on the plane and when looking out the window, he would see a creature ripping up the plane's wing. But did he really? The episode was titled "Nightmare at 20,000 feet".
Here is the Twilight Zone opening theme song.
Another one of my favorites was titled "Talking Tina" about a little girls talking doll who didn't like her father; played by Telly Savalas.