I have run two Eberron sessions as DM so far. I started the first session at the Last War, with the first level PC's being instrumental in trying to help repel a Karrnathi undead invasion. The second session opens four years later, and the PC's have been thrust into being in charge of a mercenary company that's going broke. A search for an artefact for a client has led them into a much bigger puzzle.
I've been enjoying thrusting them into some different situations atypical of D&D. Whereas our D&D sessions were typified by the PC's being sort of "cogs in the wheel", I'm emphasizing Eberron's flavor of having the PC's be "men and women of extraordinary caliber", and putting them in positions of being in charge. I'm also emphasizing the serialized nature of Eberron's inspirational Pulp genre, and I have a set and tight storyline planned, so that the campaign will end after a set number of sessions (about 10 or 12).
The inclusion of psionics has injected some interesting flavor, something that has been avoided or neglected in our group in the past; one kalashtar cleric is THOROUGHLY enjoying the Psionic Shot feat.

And one player has thoroughly embraced the Artificer, though he's been complaining that the Use Magic Device usage of the class is screwy - his claim that he only has a 25% chance (50% to make it, and then 50% to use it) to actually use anything he makes, yet I'm not seen him blow a SINGLE UMD check yet.
The group is slowly getting into use of action points, but it's growing. I find that the wackier and more insanely dangerous situations I drop on them, the more they remember the Action Points. I think that's the point of the points - heck, DON'T balance the encounters to CR levels - have the encounters be a little higher than normal, because they otherwise won't need the points. However, drop the crazy ---- on the PC's, and the Action Points start flowing.
My suggestion is to liberally steal the basic classic plots of 19th century Romantic and Gothic literature, as well as the 1930's and 1940's classic noir and action films, because these classic plots fit on Eberron's landscape like a glove. Break out that Prisoner of Zenda/Moon over Parador, introduce that warforged juggernaut in love with the beautiful villager yet chased by villagers with torches, have that trainfight standing on the cab of the Lightning Rail, and don't forget classic disaster movies of the 50's and 70's!
It's a fascinating world, and we've only scratched the surface.