Fast character concepts:
Factotum: Cowardly or non-combat-oriented Human Rogue (maybe hybrid Wiz/Rogue?) with scads of skill- and knowledge-based feats, powers, etc. Harrison Jones, perhaps?
A cute gnome melee character that cheerfully wrecks anything in the way. Hair must be at least as large as skull! Disproportionately oversized weapon(s) enhances cuteness.
Hybrid or multiclass Paladin/Warlock(infernal pact): Make demons work for good, whether they like it or not. Engage in fascinating theological debate with infernal minions.
An awakened animal ranger with a human beast companion. Man, he seems stupid. Good thing he's got a great pet!
Unstoppable Defender: The WarforgedTerminator cannot be stopped, or even slowed. Do not draw its ire.
Warforged Factotum/linguist: Think See Three Pee Oh. Annoying fussiness optional. May resemble Brent Spiner.
Warforged Paladin: It was crafted exclusively for the purpose of vanquishing evil(a bit singlemindedly driven)
Warforged Cleric: It calls its deity 'Gran-dad' since its race was created by mortals. Faith is hard-coded and unshakable.
Warforged Battlemind: This is a psychic robot with a HUGE hammer that can walk across water at level 2. Multiclass into fighter for more defender goodness.
Warforged Druid: a golem made of fallen deadwood(or a single living tree) that Transform(er)s into animal shapes to fight. Appropriate sound effects not optional.
Warforged Warlock(infernal pact): Mortgaging its soul, so you don't have to!
Warforged Wizard: Studies 24/7 for years, because you have better things to do. Wants to understand what makes its own self tick.
Warforged Swordmage: Robot Jedi that doesn't suck like certain lightsaber-wielding robots featured in Attack of the Clones!
Warforged Bard: With a jukebox for a chest and an audio book for a memory, this is one popular living machine at parties. Wait until you see the attached instrument!
Warforged Monk(multiclass psion): Says "whoa" a lot. Claims it is designated "The 1", but made up its own name. Doesn't believe in all that fate nonsense.