So far we're had...
Life's Bazaar:
Our first fatality came in the shape of the Abdarion, an Air Genasi Swashbuckler. Upon encountering the mimic in Jzardirune, he decided that bribing the creature was against his principles (Money comes out of chests, it doesn't go in!) and charged the mimic, hoping to the get the drop on him. Alas, with 42 hit points, second level characters would have to drop on it several times to make a differance, and he was tragically crushed to death by the creatures pseudopods.
A genasi swashbuckler proved a consistently unlucky combination for the group, when the Morgan Cinderstorm, a Fire Genasi Swashbuckler, was abducted by the Grell living in Jzardirune. The creature surprised the party, swooped down hitting her with a tentacle, paralysed her, grappled her, and propelled the hapless (and helpless) warrior into the rafters. Upon gaining the initiative in the the first regular round of combat, it coup de graced the helpless fire genasi with its wicked beak.
Flood Season:
Abdarion bit the dust again, coming off on the wrong side of Triels heavy flail. This time his players decided that a second raise dead spell with it's monetary cost and loss of a level was too much, and he retired the character.
Zenith Trajectory:
Gotrod burned the party sorceror, one Shadi el Maskari, to an impressive -30 hit points with his breath weapon in response to a lightning bolt that cost him a third of his hit points. Shadi has since been resored to life, and is now a good deal more careful.
The party's Tiefling Barbarian had the top of his head neatly removed by Zenith Splintersheild with a spectacular 71 points of damage crit, proving that sometimes Improved Critical- Dwarven Waraxe really pays off.
So, they've just started Test of the Smoking Eye with 5 fatailities so far under their collective belts, though aside from Abdarion all have been raised. It remains to be seen how many more deaths are going to happen over the course of the Adventure Path, but so far they're averaging 1 per Adventure.