Lets discuss oddball builds that actually work
I'm not talking about HIGHLY situational builds, either. I'm not talking about cheese builds. I'm not talking about builds that work in 1/10 games.
I'm talking about builds that are uncommon, but work quite well, and are actually solo queue viable.
I've personally found some success with kleptomancy vayne, her tumble allows her to proc the rune with some degree of success and frequency. Its not optimal, but it does work, and I do typically end the game with 1500-2000 more gold on average than I do in my PTA or FF games with vayne. My damage is noticeably lower, though - about 1.2-1.8k lower. But it feels good to hit that 2-item power spike earlier. (About 45 seconds to 1:30 earlier on average over about 9 games)
I've also found moderate success with comet AP malphite mid lane against melee matchups like zed, yasuo, akali, diana, etc.
You run ultimate hat, transcendence, and cosmic insight. Poke with your Q/E, and by the end of the game your ultimate is on about a 55-60 second cooldown. (every game I've played has ended before I can get rank 3 in it, so I'm not sure what the final cooldown ends up being) You can basically one-shot the enemy adc or apc, then zhonyas while your team mops up. The ROA gives him some survivability, and the zhonyas + abyssal just adds to that. Even with that survivability, his damage is insane. You can even grab a
if you're really stomping the lane and don't need the void staff pen, or sac one of the tank items for it if you don't need one source of mitigation or the other.
And lastly, my favorite - and this is one that's pretty well-known, but underplayed in my opinion....
jungle. Her ganks just feel so damn good, and she's impactful at all stages of the game. The only downfall is that she's EXTREMELY susceptible to counter jungling, but in the current "gank often, gank always" meta, that matters much less than you'd think, because Morgana's uptime is insane. You can do 2 full clears with ganks in between before you ever have to back for resources and items, and by then you've likely gotten 2-3 kills and perhaps some assists. So whatever deficit you'd be at by getting counterjungled is offset by the fact that you can stay out on the map basically until you get bored.
Do you have any off-kilter builds that are actually viable and usable?

is 250 gold LESS than Warrior's
, which is almost the base boots gold) on which you can sit upon if you want to rush Trinity Force first
Runic Echos only BIG disadvantage is that the clearing speed is reduced BY A LOT because of the lack of AA damage from Warrior/Bloodrazor or Bami's Cinder aura damage from Cinderhulk, but if you can make up from it by exploiting the fact that because of the enhanced W Heca comes out from the jungle healther on average without the need to back when expected from him (if you have good mana management/good healing plants usage), to apply lane pressure/overall vision, then you have found the item that has the healthier and cheaper build path while retaining pretty good synergy with Trinity Force (because of Trinity Force Movement Speed bring the movement speed around the soft cap) and being useful later on in the game
mid

so my assists refill mana, and depending on if they're mobile or not, I'll take either Electrocute or Comet, but almost always a combination of those two trees. (Ultimate Hat is great for the extra up time on a defensive ult)
is typical, but it's good here for extra peel, unless you want more Mana, then go for
.
hextech gunblade jax ? it was a thing a while back and died but it's still do able.
This is super fun at lvl 2 you can out duel everyone but ornn (i hate him) your build order is
you usually want this over everything this and sheen usually (if against heavy ap)
(complete visage first then sunfire 3rd into
into this is situational (for team purposes) or if you lose lane it happens
you can run this to help your team out if they need the umph
these are your lovely 6 last items pick one for situation it's all up to you
sooo FUN
with
is pretty fun Depends all up to you
etc
It's not exactly an adc, but it's totally obnoxious, because she can still use her Q to heal herself amid adc level damage.
into
, into the following items:
Bruiser
/
/
except she rushed sunfire. With no damage items she was straight up out damaging me, even before bamis. Wasn't fun :(
battle fox
if you get
) -
(or 
as well (never tried)
supp. It is all about maxing Q and getting in early trades. So it's either sorc/dom or sorc/insp. I always go celerity and max W second because as long as you don't get hit it's free damage. I don't go dom so much any more, bc I mostly took it for zombie ward bc I'd put off sighstone for more dmg, and post-6 you just can't be ganked. It's great.
you MUST take presence of mind. Ultimate hat is great too but technically can be replaced, but it's arguably the best mastery for him second to presence of mind.
and it seems to work. Take
Toplane.
with
with Dark harvest, sudden impact, eyeball collection, and ravenous hunter with resolve as secondary with revitalize and the tenacity after summ spell usually. It's absolutely disgusting <3

on enchanter supports, coupled with
for defensive options.
jungle she wasnt much pre 6 but her ganks after people learned to fear
Top:
and your choice of boots
.