Since nobody's bothered to shoot down the idea of a lich battlemage, here's my next character.
Name: Vorandaril
Race: Altmer (Lich)
Hair: Grey
Age: 315 (120 at time of death)
Class: Battlemage
History:
He was remembered in the Mages Guild as an eccentric mer with a passion for Ayleid ruins. Often visiting remote ruins alone, his superiors worried he'd one day his reckless exploring would get him killed. Sure enough, around two hundred years ago he entered a ruin and lost his right forearm to a skeleton's axe. Although he survived, the experience utterly broke him; he couldn't bear living centuries with only one hand. His superiors began to worry when he embalmed his severed forearm and carried it wherever he went. They worried further when he became obsessed with studying in the University archives, leaving only for eating, drinking, sleeping, and bodily functions. Their fears proved founded when he simply disappeared from the university, and upon checking archive records, realized he had been studying how to become a lich. He was expelled from the Mages Guild, but it didn't matter; they never saw him again.
He found a remote Ayleid ruin just inside the Hammerfell border, just outside the jurisdiction of the Cyrodiil Branch. Upon dispatching the beasts inhabiting the ruin, he underwent the rites to become a lich. After crossing into undeath, regaining the use of his forearm (indeed, he needed his forearm to become a lich), he carefully embalmed his body to keep it from deteriorating. No longer restrained by the needs of the body, but now no longer able to access the Mages Guild, he turned to improving the magical arts he already knew. One day a group of necromancers took refuge in his lair; he killed them all. He began to wonder what was happening in the outside world. Some time later (he had lost track of time) bandits attempted to use the ruin as a hideout; again, he killed them all. But now his curiosity was too much to hide any longer. Creating a disguise from his victims' clothing and armor, he ventured into the outside world, making his way to Rihad. What he found was disheartening and worrisome. An order of Nine-worshiping knights had taken southern Hammerfell; worse, he learned that a new Yokudan Empire sought to unite Hammerfell. After some thought, he decided to pass himself off as a mercenary working for the knights; he wanted to test his powers out, and the Yokudans certainly wouldn't hire a magic user. In addition, it would be fighting for the freedom to use magic; certainly a worthy cause. So long as they didn't find out about his condition.
Physical description: Like all Altmer, he's tall and slender. His body is embalmed and protected by linen wrappings, which are hidden under his robes and armor. His robes and armor hide his undead state, but his race is given away by his stature. He floats from place to place, rarely touching the ground, an indicator that he is not to be trifled with. Close up, he smells faintly of alcohol, although few would find that suspicious.
Armor: He wears a black robe and hood. Underneath the robe lies tarnished Ayleid plating attached to leather armor. Underneath his hood lies a deteriorated Ayleid helmet, with one of the chevrons/horns broken off. His face is covered in a think black cloth; he can see through it fine, but it hides his face and dimly glowing eyes.
Weapon: He carries no weapon, and when he needs one, he conjures a Bound Longsword.
Personality: He's a loner, having spent almost two centuries in hiding. His isolation has dulled his people skills, although he still speaks Cyrodiilic fluently. He has a strong desire to become as powerful as possible, although he does not need to lord it over everyone; being powerful enough to hold on to what he has is what matters. He doesn't say much about himself, knowing that the less others know about him, the better. Even so, ever since he ventured out of his lair, he's become very curious as to what has been happening since he crossed over into undeath, and he enjoys walking among the living after all these years.
Skills: As a battlemage, he specialized in mysticism. Since becoming a lich, he has mastered the skill. He is especially fond of using telekinesis to slay his foes. He is also honed in the schools of Alteration and Destruction, although he only has a few spells from each of those schools. In addition, he can summon a Bound Longsword (literally the only Conjuration spell he has). He is also a decent swordsman, although most of the time foes don't get close enough for it to matter. Despite being a lich, he knows little of necromancy and abhors the idea of enslaving the dead.
Other: His undead form makes him very resilient to magic except against fire magic, which he is vulnerable to. Having been an Altmer in life, it's still a huge improvement. He also doesn't need to eat, drink or sleep. However, his body does not naturally heal and he must draw life force from others (usually animals) in order to recover from wounds.