Listen: there's a hell of a good universe next door; let's go.
"Maybe it got sucked into a parallel dimension."
— ALF trying to explain the disappearance of the family cat.
Grim: Yeah, that's the entrance to wing thirteen: the supernatural wing! It exists in Another Dimension.
Grim: Yeah, we step through there and ascend to the Home of the Ancients!
Billy: I hate to throw a monkey wrench into this ascension to Another Dimension that wasn't ever mentioned BUT-
Grim: What's with the sudden dissension?
Billy: I'm pulling an abstention to the ascension to Another Dimension; my mommy said I'm not allowed to.
Grim: Well, I don't want to cause tension with this ascension to...
Your world is but one of many realms. One of them is a forsaken land called Outworld, ruled by an immortal who has crowned himself emperor. Now he seeks a new world to conquer and enslave.
— Raiden, Mortal Kombat
Whoever set up this intercom system clearly wanted to fight me. I keep hearing "dimensional power", "dimensional contamination". What the fuck are they talking about? I'm pretty sure these aliens are three-dimensional. Probably from somewhere deep in space, but space isn't another dimension.
— Gordon Freeman expressing his annoyance at this trope, Freeman's Mind
Gonna get a little weird! Gonna get a little wild! I ain't from 'round here! I'm from another dimension!
— Theme song to Star vs. the Forces of Evil
Relatively speaking, today is tomorrow/Einstein led and everyone followed/Time to increase your mental retention/Explore new frontiers in a new dimension.
— Theme song to My Science Project
Gozer the Gozerian? ... Good evening. As a duly designated representative of the City, County and State of New York, I order you to cease any and all supernatural activity and return forthwith to your place of origin or to the nearest convenient parallel dimension.
— Ray Stantz, Ghostbusters (1984)