The entire list of spells can be found here:
Alphabetical Spell List

All the spells in G.U.R.P.S. and any that we may create fall into the 8 Aspects of Magic which are as follows:

Elemental

Earth
This college refers to the solid aspects of our world: to the ground, to dirt, sand, stone, and metal, as well as plants and much of the nature.

Fire
This college manipulates the elements of plasma and energy: Fire, Electricity, Lightning, Light and Darkness all fall under the influence of this college.

Air
This college manipulates the most abundant resource in the world and hold power over weather and sound as well.

Water
This college manipulates water not only as a liquid but also as Ice and cold, as well as acids.

Fundamental

Arcana
This is the college of magic that focuses on the manipulation of magic itself.  On gaining knowledge through magic, manipulating time, and on using magic to enchant objects.

Mind
This college focuses on manipulation of the mind, through communication, influence, and control.

Body
This college's influences focuses on flesh, muscle, and bone.  Healing, shaping, transforming, augmenting, weakening, and destroying the body.

Soul
This college leans towards the intangible, to spirits, undead, and summoning.

Each spell list is organized into Tiers, In order to cast a spell of a specific Tier you must have the Magery of that College at that level. 

All spells are treated as individual skills.  Most spells are based on IQ and are treated as Hard Skills which means a spell with one skill level starts off with a skill roll of IQ -2.
Some more challenging spells are considered Very Hard, their higher difficulty means that at skill level one the spells start off with a skill roll of IQ -3. 
Very Hard spells will be marked by this symbol ✧

Earth

Fire

Air

Water

Fundamental Colleges

Arcana

Enchanting

Mind

Body

Soul