Not as bad as first reported, but not great, either. The museum staff apparently went to great lengths to safeguard much of the museum material, but a lot was still lost.

From your very own link, Tom:

Unfortunately, 30 exhibits from the main gallery, 30 display- quality, irreplaceable pieces, are still missing from the museum. Another 16 pieces were damaged, most notably, the Golden Harp of Ur, although its golden bull's head, as I mentioned, had previously been removed. And you can see the harp on the left there in three pieces, and then you can see the golden bull's head. That photograph was taken when we uncovered the Treasure of Nimrud in the underground vaults of the Central Bank of Iraq. The Golden Harp itself can also be restored.

In turning to the Heritage Room, consisting of more recent scrolls and Islamic antique furniture and fine porcelain, 236 pieces were originally stolen. We've recovered 164, which leaves 72 still missing.

Turning then to the restoration and registration rooms, which were temporary storage areas -- (to staff) next side please Senior -- temporary storage areas, we found 199 pieces originally missing, of which we've recovered 118, leaving 81 still missing. It was in this room that the Golden Harp of Ur and several delicate ivories were kept and subsequently damaged during the looting.

However, the contents of the plastic boxes were taken by the thieves. Those boxes, while -- the contents, while not of the same caliber as the items in the storage cabinets, were nonetheless valuable in their own right. All together from those boxes, there were 4,997 bins, beads, amulets and pendants, and 4,795 cylinder seals. An additional 500 smaller pottery pieces and bronze weapons from the shelves were also taken. So, from this room alone, 10,337 pieces were stolen, of which, 667 have been recovered.