Let's see here, if I were to tack on "everyday concerns" onto my D&D pantheon, what would be my first try...
Bane: tyranny
We could add Nobility in general to that. Just the idea that Bane is what gives people the RIGHT to RULE, and thus all nobles and regents pay some kind of homage to Bane for their position over others.
Bahamut: justice and dragons
This is good as it is. Justice gives it a social function -- magistrates and town guards use Bahamut's image on their seals and their banners. This could extend to becoming the God of Cities, where civilization and organization and the like are Bahamut's glory.
Pelor: sun and good
A little broad, but not bad. He's the one you pray to when evil spirits are at your door, when the plague has haunted your land, and when winter siezes your town, sheathing it in ice.
Corellon: magic
He needs a bit more. Maybe make him a God of Youth, given that elves have that whole lifespan thing going for them. Children all over the world are protected by him, mothers say prayers to him to watch over them...
Moradin: forge
Let's add "family" to this. Moradin is the warm heart of a mountain, the fire that must always stay lit, and the knowledge of good friends. It's very "dwarven," too, but even humans vow to remain faithful on their wedding days under the statues of Moradin.
Zehir: night
He needs a bit more. Since we have Pelor during the day, let's go the other way with Zehir -- he is the patron of those who lurk in shadows of all kinds, a dark god whispered in hidden cults. Prayers are offered to him to satiate him, so that he doesn't envelop you in darkness, never to be seen again.
Tiamat: vengance and dragons
Another good combo. Your brother was killed by orcs? Swear to Tiamat that you will avenge him. If Bahamut is getting the civic portfolio, Tiamat works as a wilderness goddess, and she does that pretty well -- rampant, destructive, elemental...yeah.
Obad-Hai: forest and AGRICULTURE
Perfect. The Verdant Lord.
Sehanine: moon
Pretty narrow, here. Let's widen her up a little bit. Beauty is good, and we need a goddess of beauty here. Plus, she's elven -- youth, again. That works. Sehanine presides over this world's version of Valentine's Day, and lover's names are carved into crescent moons on tree bark.
Ioun: magic and knowledge
This is okay. Knowledge is broad enough that Ioun presides over institutes of learning of all types. Literacy passes through Ioun's territories, giving him the typical role of a god of runes and hidden things and scribes and the like. Though why we ditched Boccob for this?
Asmodeus: treachery, lies and devils
Sure, this works. You lie to your wife about how she looks in that dress, Asmodeus gets a little bit more powerful.

You're going to betray your king (even if he's a tyrant)? Asmodeus is helping you.
Tharizdun: demons
Too narrow! Let's throw in madness. Tharizdun gains power whenever you loose control, and prayers are offered to him to stop from loosing control! His feast day is an inversion of society! And disease might work here, too. Very elemental, uncaring, destructive, savage...you get drunk, Tharizdun is the cause.
Kord: strength, storms
Good combo. Make him the Marduk, the God of the Sky, give him kind of a "male fertility" angle. Him and Sehanine might be consorts!
Avandra: chance, luck
Yeah, expand this to the archetypal trixter role. Avandra is between worlds, living on the borderlines, goddess of thieves and messengers and perhaps even death...and here, we've got DOORWAYS!
Gruumsh: slaughter
Bigger. He's the god of Conflict. Of war. Of violence. Of saying "no." Prayers are offered to keep him at bay from negotiations (perhaps they leave a bit of elf blood outside the tent to propiate him). He is honored in times of glorious warfare the way Ares is. Grim, relentlessly combatative, he takes what he wants.
Lloth: vermin and the underdark
Vermin is big enough that it's every day, though to her I might add "goddess of death." Black widows, poison, coffins, graveyards, white webs, white bones, things feeding on the remains of creatures...could work really well.