I've had a lot of fun with a few of them, including:
AP 
Mid
AP 
Mid
AP 
Mid
(A lot of mids, I know :P)
Any other champion and lane to do? I still have to do full AD attack speed , maybe the same with 
.
Edit: thanks for all the suggestions! They seem really fun. I'll try them all eventually XD
Jungle 
is a lot of fun. That's what I play when my friends and I do ranked teams all "support" champs.
Galio mid. Just Galio mid.
Support Ashe and Top Shaco are fun.
Jungle Garen
Ap tryndamere idk if it actually works though
Ap Pantheon once you get him, stun and ult are a 1:1 ratio
Ad Jarvan 4th Jungle blitzcrank
Ap Warwick mid
theres a bunch
Support/ap! hella fun!
AP
and you can ult+Q+passive auto any squishy from full health
Leona Jungle is my soft spot. She's got a painful clear time and mediocre sustain. But she scales decently with a real gold income and OH. My. God the ganks. Rush BoM, terrorize any lane that's remotely even or in your favour. It falls flat if you can't make the ganks happen, but you have a skillshot to start the fight with that isn't blocked by minions, good CC, and solid damage if the laner is activating you passive. After you hit six, terrifying. You do need to invest in an item with offensive stats eventually to keep your clear up(I kinda like wits end, but get a BotRK if ganks are going well, Iceborn is good, too, as is sunfire), and you need to be good at the Leona Triple-tap to have a clear speed that is only mildly laughable to start with.
soraka mid :^)
Support Khartus: When you don't need to focus on CS, the poke potential of skittles is just absurd. Wall is a nice slow and that.. uhm.. killsecuring ultimate!
**Amumu top: ** His E has awesome mana-to-dmg ratio and reduces physical dmg+block+unyielding+Dshield. And I don't need to say how full-farm Amumu is awesome.
Morde support: Death is the best CC :P Also, manaless poke. Either go 0/9/21 and Coin - rather weak early game but nice gold income and that 3%SV. OR go 0/26/4(MS and trinkets in utility) and Rshield - good early tankiness and sustain from Perserverance and Recovery.
PS How the hell can you do here(on CB) the "new line but not new paragraph"? It is either continuously in one line or making one big gap. It is just hurting my feelings...
I play Anivia the Undying, and AP bot Anivia with an Ashe support/kill lane. I've also seem someone try an ADC orianna. (Undying Anivia: Passive, Guardian, Zhonyas, Seraphs Embrace, and tank gear. For added fun, have a Zilean and Yorick on your team!)
Most of these I've done once or twice, but:
AD Nunu
Nautilus top
Rammus top
Malzahar jungle
Still off-meta, but could still technically fit:
Morde top
Nautilus support
Kog'maw top. Just shred any health stacking tank( e.g cho'gath)
EDIT: I usually would go for a botrk vs tanks, and from there just attack damage/speed. No idea how optimal it is, but it works for me.
Is jungle Twisted Fate a thing? I mean, he has decent wave-clear and could benefit from any of the jungle items. His ganking potential post level 6 would also be outright fabulous.
Tank farming botlane. Support your support so they can support like a real support.
AP Miss fortune Mid. Max impure shots and build nashors tooth. She basically turns into Kayle, but funnier.
