Boys Before Flowers: In this Korean Series, Jan Di chases after a limousine on foot for a short distance, then turns and runs back to her bicycle. The next scene is her riding up to a house's front entrance at the same time the limo arrives.
Angelus manages to make this an Invoked Trope in one episode, when chasing Jenny Calendar, though this time it's a Justified Trope through the Super Speed shown by both Angel and Angelus throughout the series.
Another Buffy example is in "What's My Line, Part 2." When the worm-man from the Order of Taraka is chasing Xander and Cordelia, he pulls some Offscreen Teleportation to suddenly pop up in front of them, despite the fact that he shows no other signs of having unusual movement capabilities. (He can disintegrate into worms and crawl, but the worms do not appear to be particularly fast. Certainly he can't teleport, since Xander and Cordelia escape him shortly thereafter by ducking into the basement, closing the door, and putting duct tape across the crack at the bottom. For that matter, it's not entirely clear what makes the worm-man so dangerous in the first place...)
Castle: In one episode, CIA Agent Gray took it Up to Eleven by Offscreen Teleporting twice in as many minutes.note Once to enter Homicide, once to leave.
Charmed: In some episodes, many characters who had the power to teleport themselves for some reason bothered walking out through a door and then, once not seen by the viewer, use their power. Sometimes, the sound effects were heard, sometimes it was implied.
"Blink" The Angels have this ability as a form of Applied Phlebotinum, and it is the only way they can move: they can move incredibly fast, but turn to stone whenever someone looks at them. This episode also breaks the fourth wall because the same principle applies to the camera as well (that is, the angels turn into stone even if only the camera is looking at them).
From the mid-season finale of season six: Rory, as the Last Centurion, is in a Cyberman ship. At one point, he somehow accomplishes the following:
Cyber-Leader: Intruder level eleven. Seal levels twelve, thirteen and fourteen. Intruder level fifteen.
Falling Skies: In one episode, the 2nd Massachusetts manages to go on an unfamiliar route they have never traveled before, completely passing the group which has recaptured some of their members who were trying to escape back, and take the enemy headquarters, all offscreen.
Sylar does this a lot, either moving distances or changing positions when the camera's not looking. Only when the camera's not looking. At one point, he goes from knocked to the floor to up on his feet as the camera pans around another character. This may be some sort of superpower; in one volume 4 episode, he is talking to Danko in a car, the camera pans around Danko, and we see him on top of a huge building. However he mostly only uses this power when the camera's not on him.
He does use it on camera once in the first season. He can fling himself ridiculously.
A personal favorite is that he went from California to New Jersey in roughly the same amount of time it took Peter and The Haitian to get there from NYC. The rush hour traffic must have been terrible.
Discussed and parodied in the episode featuring Gunslinger. Tom Servo attempts to explain away the fact the movie just had a bunch of false fronts by showing how this sort of thing actually works. Crow ends up insulting Tom over it, leading the latter to bend time space to his will. When Joel finally goes to a commercial, he has to calmly let Tom know to stop.
Amusingly used on The Nanny, when Niles and Fran both want vacation time and know that only the first one to ask Max will get it. Niles locks Fran in a room, makes a mad dash to Max's office... only to find Fran already sitting on Max's desk.
Fran:(condescending smile) You have so much to learn.
The Monroe Militia marches away in episode 3, yet the off screen protagonists manage to figure out where the militia is going, get ahead of them and set up a trap at a bridge - all on foot.
Episode 13 has Tom Neville go from Farmington, Pennsylvania to Philadelphia, Pennsylvania, apparently on foot. That's quite the distance he covered in one episode.
The first season finale has Randall Flynn not only somehow escape the crossfire between Monroe's militia and the Dwellers seen in episode 19, but he gets a keycard found behind a picture of George W. Bush in an office on level 11, and somehow manages to get into the special room on level 12 without the Dwellers even noticing apparently.
The Secret Circle: Occurs. One moment possessed Melissa is tied up and lying on the couch, then the camera and the characters look away for a second. When they look back, she's untied and standing next to them. It's not clear if this is done by magic or demonic speed, but it's a fairly creepy moment.
Has a particularly hilarious example of this. In the episode "Criss Angel is a Douche Bag," the Winchester boys tie up a stage magician that they think is responsible for the recent murders. The boys discuss their next move as the camera pans around them, and when the camera comes around again, the chair that they tied the man up in is empty.
Dean: We really should have seen that one coming.
Even funnier, after Sam and Dean run off to go looking for him, the magician pops out of the closet. When Sam and Dean get downstairs and the cops pull in, the magician comes downstairs. Cue the very confused looks from poor Sam and Dean.
Castiel (like other angelic creatures) is a MASTER of Off Screen Teleportation. If Cas is in the episode, it'll probably happen. Multiple times.
Played for Laughs when the Ghostfacers try fleeing Castiel. Every time they open a door, he's on the other side with an exasperated look on his face.
Note, however, that it's often only "offscreen" for the audience; there are multiple examples of human characters looking straight at angels while they flutter away.
Probably the best example from an in-universe perspective comes from the angel Anna. In one episode, there is a long quiet interlude with Sam and Dean driving down the road. Anna, heretofore unseen in the entire episode and for several episodes prior, in one instant cut shows up in the back seat and says, "Hi, guys." Dean is so damn shocked that he nearly drives the Impala straight off the road!
Crowley is pretty much Cas's demonic Evil Counterpart in this regard. He does it in every episode he appears in - for example, in "Two Minutes To Midnight", he does it to Dean three or four times in about a minute. Dean's reactions are hilarious.
Occurs. Derek seems to appear out of nowhere in the weirdest places, including the boys' locker room.
Derek spends more time time in the boys' locker room than most of the boys on the lacrosse team, but nobody ever seems to notice him at the school.
Todd and the Book of Pure Evil: Occurs when the guidance counselor Atticus is pursued by a man-sized monster baby spawned by the titular Artifact of Doom. Although the Big Bad Baby is only capable of shambling slowly, it somehow manages to get in front of Atticus as he sprints down a school corridor.
For that matter, her bodyguard and the Regents seem capable of it too.
Incidentally, one of the Regents has the same actor as Crowley.
The Dresden Files: Throughout most of the series Warden Donald Morgan, a powerful wizard, does this, usually to intimidate or berate the protagonist for some reason. When a spell traps everyone in the building and he is asked why he doesn't just teleport out, he sheepishly admits that he can't actually teleport, and just has the power to become invisible, having had to sneak in and out before dramatically pretending to teleport in by becoming visible. Which makes many of the previous scenes hilarious in hindsight when you realize the powerful warden is actually attempting to sneak away or in while trying not to bump anything or make noise and probably just took a cab to the building.