There certainly are - the best example I know of is the worship of Erra, the Mesopotamian god of death-through-unnatural-(often-violent)-means. He is known primarily for his role in the text Erra and Ishum, a satirical text parodying the Babylonian national epic, Enuma elish. In Erra and Ishum, Erra has a serious case of the Mondays:

Erra himself felt as weak as a man short of sleep

saying to himself, 'Should I rise or sleep?'

He told his weapons, "Stay propped in the cupboard." (I.15-17)

His right-hand man, Ishum, then delivers a rousing speech in which he reminds him that it is his sworn duty to deliver slaughter and death to the world. They have a bit of a back and forth between them about whom they should deliver this to precisely - only people living in the countryside, or perhaps also city-dwellers? They settle on both.

Now, Erra and Ishum is very much a satirical text: while warfare in Mesopotamian literature is generally seen as a heroic thing, Andrew George points out that it is described decidedly as a horrible thing to be avoided: it is perhaps exciting to those of a particular disposition, but the suffering it causes to everyone else is a cruel evil.

In this light, it's interesting to see that Erra had his own temple, E-meslam in Kutha, where he was worshipped along with Nergal, the god of the underworld (who, like Hades in Greece, wasn't necessarily an evil deity). Not only this - particular lines from Erra and Ishum started being used in the Neo-Assyrian period (9th century BCE-late 7th century BCE) on prophylactic amulets to ward off plague, demonstrating that he was taken very seriously as a deity with significant power, albeit primarily a destructive power that was best avoided.