Annie+Banner+Ohmwrecker.
So I posted this on GD, but felt it would be better received here.
So I have been testing these items on support Annie, and it's been working out very well so far. Rush Banner as your first complete item (I get frost fang, boots, and sightstone for laning), Ohmwrecker second. Promote bot lane minion after you take first tier tower, forcing someone to go deal with it, allowing you to 4v5 mid or top. You then dive safely using Tibbers to tank initial tower shots, and then when tower switches targets you can ohmwrecker it. By then, the fight has usually moved back from the tower so the tower will just re-acquire tibbers or nearby minions. AP from the items gives you decent damage, and CDR from banner gives you more stuns. Rushing banner also allows you get get more gold overtime from promoted minion getting kills, and gives more map pressure earlier.
Also, if you want to apply baron pressure, you can promote bot lane siege minion while manipulating bot lane to be a slow push. If you want dragon pressure, just do the reverse. Someone will have to go deal with it, allowing you to 4v5 around baron/dragon pit.
Teleport can KINDA counter this strategy, but that's pretty much the only CON, and it's not that big of one.
Not saying to take it into ranked (yet), but fun to try.