Teleporting -- need a better name for it.

[Kristopher]

I want a name of teleportation that's more appropriate for a fantasy setting, and doesn't carry any modern, sci-fi, or comicbook baggage.

The character in question can "feel" space and matter around her, and move to another spot instantly, without crossing the intervening space, as an act of will. It does take some energy and concentration, but isn't a spell or other learned magical skill -- it's an inborn talent due to her unique parentage.

[Curufea]

Correspondence :)
(from Mage)
Transmigration, Apportation, Space bender, Thaumic Translation

[Comic]

Psychoportation, shadow-walking, going sideways, blinking, stepping, astral walking, bending, warping, transcendence, spotwalking, folding, weave-walking, spiral-dancing..

[mattingly]

Plane-stepping, Shadow-walking, Nether-travel, Following The Paths That Man Must Not Follow.

[Hugh Neilson]

Shifting
Castling

[Roter Baron]

Verschwinding ...

[Delthrien]

Hmmm...

(PC/NPC name)'s Bi-locative Conveyance
The Long Step
Traveling (always written with a capital initial)
The Walk-That-Is-Not

[Killer Shrike]

Farstep
Seven League Stride
Wefting


If you've decided on a specific SFX for how TPort works in general in your setting, such as travel via a specific extradimensional space, that opens up more campaign oriented options as well (obviously)...

[mattingly]

Gating.

[Chris Goodwin]

First edition Fantasy Hero called it Transport.

Edit: A couple of sources have called it "jaunting".

[mattingly]

A couple of sources have called it "jaunting".
We prefer the term "gallivanting."

[Starwolf]

Bamfing, poofing, puffing :D

[Hyper-Man]

Finding the cracks in reality.

Pretty much any Amber description of shadow travel as already pointed out.

[Curufea]

Jaunting was used in the Tomorrow People series.

[ghost-angel]

Sidestepping Reality, Dimensional Shift

[Manic Typist]

Blinking.

[Clonus]

Jaunting was used in the Tomorrow People series.

But they lifted from The Stars My Destination.

[StGrimblefig]

Walking the old paths
Making that which is far to be near
The rabbit's escape

if the spell or ability is known to have been discovered by a particular person, then it could be:
<discoverer>'s gate
Following <discoverer>'s Path

Perceiving the Ponderous Pathways of Pontificus the Plenipotentate.
Oh, wait. You DIDN'T want cartoony. Sorry.

[Lucius]

To Move in Stillness.

Lucius Alexander

I just call it "Riding the Palindromedary"

[Labrat]

You could just call it 'Dennis'...

Gate-hopping
Flashpointing
Wormhole Riding (hey... lets keep it clean...)

[Supreme Serpent]

Galooping

[Clonus]

Of course if you were speaking classical greek it would be "teleporos" from "tele" meaning "at a distance" and "poros" meaning "passage". If you were speaking latin it would be "transportus".

[Hyper-Man]

How about Conveyance?

[Labrat]

Sliding?
Tesseracting?

[ghost-angel]

Leap Of Faith.

(or did you buy Safe Teleport?)

[Nolgroth]

Explosive Recompression?

[Manic Typist]

Gods' Walk.

[LoresLost]

I ways liked "Riding the Syncronicity Highway" from Hellblazer comics myself.:eg:

Here are a few others that come to mind:
Translocation, the far step, walking the eterinal roads.

[Shadowsoul]

Planeswalking. Celestial step. Moving Beyond. Wizard's walk. Ghostwalk. Corporeal Shift. Wending. Slipping. Corpus Agito, (Fantasy doesn't require good latin).
Alternatively it could be part of a school or system of magic called 'Defying' which allows the practitioner to ignore natural laws by the power of their own will. The formal name would be something like 'Defying the Common Path'.

[Captain Obvious]

The journey of a thousand miles ends in a single step.

Distance Door is a direct translation of teleport. Or maybe call it the Spell of the Seven League Boots.

[BobGreenwade]

TranslocationThis actually is the classic term for it, before sci-fi came along. :)

[jaws]

Etherstep or etherwalk, whisping, therenow

[Silverbullet]

In the Harry Potter books they call it, Apparition (A-pa-RI-shun) and Disapparate (dis-AP-a-rate) respectively.

http://www.hp-lexicon.org/magic/spells/spells_a.html#apparition