Eberron Wizard
The secrets and means of shaping the forces of creation are embedded within the principles of arcana magic, thought to be a gift from Siberys himself, and a true wizard seeks to master these principles with every waking hour. Even early on, the talents and versatility of a wizard are remarkable. A magewright could spend years mastering a single cantrip, while those who focus their efforts on dissecting a spell down to the repeatable arcane principles simply by studying scrolls and schematics, and who can reliably duplicate the effects, earn the moniker of wizard.
As a wizard, you’re an arcane scientist and, like any scientist, you could be diligent, eccentric, or even stark-raving mad. Among the other magically inclined, you have every reason to be proud of your talents. Bards? Stage magicians obsessed with fame. Sorcerers? Freaks who won the genetic lottery. Warlocks? Cheaters who bought their magic from someone else. You earned your power. You’re a bona fide genius and it’s unlikely that anyone will soon forget how bright your brilliance burned, especially if you go out in a fireball of glory. Morgrave Miscellany, page 84, gives examples of what playing a Wizard in Eberron might look like.
In addition to the subclass options presented on dndbeyond, the following Arcane Traditions are also available:
Academic Lore
Aundair is well known for the image of the famed floating towers of Arcanix, Khorvaire's most prestigious academy of magic. The headquarters of Aundair's Arcane Congress, this extraordinary school attracts many aspiring wizards and magewrights to the village of Arcanix below. From these soaring edifices, members of the Arcane Congress advise the Aundarian crown. They also scheme against a powerful rival institution, the Tower of the Twelve.
You attended one of these schools, or another academy such as Morgrave University, the Library of Korranberg, or the University of Wynarn - or you studied with a teacher who passed on their organized, pedagogical approach to magic. Such training focuses more on the theory and study of magic than its practical use. Rather than specializing in a particular school of spells, you concentrate on the mechanics underlying all forms of wizardry, learning to adjust them at will.
Spellcasters of your tradition refer to themselves as loremasters, savants, or academicians, though more self-taught wizards may refer to your colleagues by other, more mocking nicknames. Some members of your arcane tradition reciprocate by looking down upon non-academic arcane casters as provincial bumpkins, often referring to them as "hedge wizards." Yet more often, loremasters are eager to learn from and teach any wizard they meet, overwhelming such prejudices with their sheer enthusiasm for magical study.
- Source: Eberron Archetypes, page 51
Sky Magic
Sharn, the City of Towers, stands in a manifest zone linked to the plane of Syrania, the Azure Sky, enhancing magics tied to levitation and flight. You have made a special study of these extraplanar energies, which have allowed the city to become the major metropolis it is. By becoming an expert on the properties of this manifest zone, learning its intricacies and the methods for manipulating it, you have become one of the famed skymages of Sharn.
- Source: Eberron Archetypes, page 50