We are running out of unique ways to play champions
AP shen is no longer possible
AP GP is no longer possible
AP Kog'Maw is just awful now, there is no reason to build AP other than possibly just a
but again, this is on-hit Kog'Maw so you are AA'ing not ulting and QE'ing
Attack speed Fizz has been out of season ever since the attack speed jungle item has become close to useless with the exception of Jungle Kog'Maw
The list keeps on going, and the new champions that are coming out are so god damn singular focused that their kit offers no 'other' way of playing them, the champions are just straight out "build this, okay?" 
LoL was a lot more fun without Riot dictating what we can and can not play, with such a SOLID and UNMOVABLE meta that is forced onto the players, there is always going to be a lack of diversity. Don't get me wrong, AP shen I wouldn't really play in ranked. But you know what, it was fun as a mother fucker when I could burst down that enemy Vayne with my Q, taunt her and then give my team a 2k hp shield. It was fun, yeah.
So what I have left to troll with and actually have fun without playing meta is generally AP Jax, AD Akali, Singed jungle, anybody have any suggestions for more? Dieing to find more.
full crit
ad bard
full ap mid
full ap mid or top
full ad
full ap
full ap mid
River Shen.
support
everywhere
Full ap top. Burst squishies late game and ult your way out, plus his laning is bullshit levels of annoying.
Full ap mid for that juicy hook into 1 shot
AS/on-hit jungle/top, falls off hard but funny as fuck
Full AP 1 shot
Full AD. No tank stats, just lifesteal and dunking power.
Full AD. Same as Darius but more hentai.
Full AP 1 shot or Full AD for Mal "The Rock" Fitemus
Full AP for frozen hell
Full AP. runic echoes, lich bane, zhonyas, void, dcap, etc.
AP mid. Unstoppable gank setup.
AP. Probably one of the better known of these but still fun.
Full AD for bush surprise and post-death penta. Build 5
for maximum effect.
Full AP 1 shot weedwick 4/20 blaze it
AD top
Just play Yorick, he's off meta enough already.

AD assassin jungle
ADC on-hit
Atk speed top
Full AP
MPen Jungle
Jungle
Full ap mid
AP top
AD top
Jungle
go with
with a possible
if you want a guide look up aquadragon
These 2 with thunderlors can easily be fun, especially in Dominion/Ascension.
AP
onhit
Gnar used confusion; it's super effective
, knocking into someone feels like a Michael Bay movie explosion.
in every position but jungle