Thinking about the wide range of Orbital Gods that pop up in the first book of the ASE, and some of the games I've played as clerics, lately. I read this post about what things a fantasy deity would want from boots on the ground, and here goes the list of stuff the two "on the fly" beings I invented might want:
The Great Albino Catfish, the Lord Who Floats in the Deep, Dark Water (from the STOUTFELLAS game by +Doug Kovacs with +Wayne Snyder +Paul Wolfe and +James MacGeorge). In this I was "Fishbit" Burris, Lawful (but Evil!) Dwarven Cleric - former smuggler turned low-level gangster, turned hamburger by some mighty Pro-Sex Warrior Priestess Woman.
Wants you to (based on the play):
2) Drown things, or murder them unawares
3) Throw nice things in the water
4) Be cold, and/or wet
5) Move quietly in darkness
6) Murder things and dump the bodies in the water
7) Smuggle, but only in boats at night
His granted spells (this is in DCC) manifest as coldness, dark water, catfish-y tentacles, and the silence of the deep. I think I had Darkness, Detect Magic, Paralysis, and Holy Sanctuary (which didn't get cast in the course of the game). I was thinking of a big white Aboleth that masqueraded as a fish... My chosen weapons were the spear and the javelin (recast as a harpoon). Distinctly a Lawful Evil god, I guess if I needed to pick domains for other game editions I would say, Water, Evil, and Darkness. Incidentally, the slow-moving and cold sewer water under the city of Cube sufficed for holy water in this case.
Then there was a DCC game I played in as Forthelbert, 1st level Cleric of The Lady of Day Old Baked Goods; as yet unnamed. Forthelbert was a homely but pleasant artisan (baker) in his former life, and so tried to give succor to the roving bands of adventurers that sprung up like weeds in his hometown. This is in +Darien Mason 's game, but I didn't get to follow up in it - not sure if he's followed up, either (I think we played a couple of games since then)
If you read this, suggest a name for the Lady and I will include a reference to you in my upcoming solo module for DCC. Multiple entries will make for better references ;) (Note: funny that I studied Greek and Roman mythology in college pretty well and didn't recall Fornax)
She wants you to:
1) Break bread with strangers (even evil ones)
2) Pelt non-believers with stale rolls, or hit them with stale baguettes fortified by faith
3) Heal companions
4) Feed the poor and sick
5) Sell leftover (never fresh!) baked goods at a mild discount and tithe it all to the nearest Lawful temple
Spell effects manifested as heat, with the smell of freshly baked bread that passes quickly. I think the spells I had were Resist Cold/Heat, Food of the Gods, Blessing, and Detect Evil. His staff was actually a peel (the baking kind), and his sling sent divinely staled rolls shattering upon the brows of the faithless... I guess in both instances the spells I rolled suggested the god rather than any other method.
The cool thing about ASE is what it suggests - essentially the gods are sort of like the fractured AI from Gibson's Sprawl Series - intelligences spun out into wild personalities that suck up symbolism from human culture. I think of some God of Orbital Laser Platforms and how a Flame Strike would look as a laser strike from space, silent and blinding and happening here and there as the platform adjusts to the coordinates, like in the final fight in Akira...
Anyways, thanks to +Daniel Davis for the ideas - what do your non-traditional deities do and want?
Late edit: I just came across this thing by Gorgonmilk which is a sterling example of what I have discussed. Literally Petty Gods
Also, generating minor deities from games with others
If I may say so, these last two are utterly fantastic. Why are you still here? Read those things instead, already!