Eberron has a distinct flavor which is built upon quite a bit with a race or a set of feats or a class, or a combination thereof.
So, taking any Warforged or Shifter PC, by default, will pretty much pull you into that flavor.
Taking an Artificer will do it and taking any race/class with some type of Dragonmark feat will do it.
A lot of Eberron is about the Drgaonmark houses, so the Dragonmark feats are a good place to start. However, there are also some non-city type of uniquely Eberron characters such as the Gatekeepers and the Eldeen Rangers.
My suggestion is to take the time out to read through the class, race, feat, and PrC sections of the Eberron book. Not only will that give you a more broad base of what Eberron is like (shy of geography and religion), but it will also give you a depth of knowledge so that you can design a PC that you will enjoy playing as opposed to a concept someone else here thought of or played.