Hi i am Satzmann666 and welcome to my second, and a lot shorter and less professional guide for LoL featuring Annie, your favourite watas**t burst kid.
Annie is perfect smurfing champion for a handful of reasons. First she is cute and fun to play champ overall, she has incredible single/multi target burst enhanced with a passive stun and last but not least her Disintegrate is useful for farming easily without Arcane Blade and with 0 mana costs.
Annie is one of my favourite champions in a mean of personality too because i am simply a overgrown child (its even weirder when i tell you i am a 20 yo guy who studies a law school :D).

In a current meta Annie is actually not really reliable mid laner for average ranked games and she is now being picked more as a burst AP support, but in low lvl plays she can be your best buddy and you can have tons of fun together. Afterall she might even invite you to Tibbers tea party which is sight to be seen ;).

Dont bother with runes, or if you really want the tiny advantage tier 1 and 2 runes can give you just go for AP, magic pen and on Annie smurf really useful mana regen.

Take Disintegrate on level 1 for farming, then max out Incinerate over Disintegrate because it deals more damage (its simple as that :D).
Molten Shield is maxed last and Summon: Tibbers ofc anytime possible.

At level one pick your Doran's Ring, 2 HP pots, Stealth Ward and head to the mid lane.
At early stages of game (pre 6) try to ignore enemy laner and focus on farm a LOT. Harras only a little maybe with Incinerate while farming as well. At level six try to harras your opponent a litle, get 3 stacks on Pyromania and do the classic Molten Shield => Summon: Tibbers => Incinerate and Disintegrate => Ignite combo for your very first kill.
After that you can just push off lane and recall for some nice items.

Return to lane, farm again like nothing happend and repeat the combo kill once or twice to asure your opponent it wasnt just a luck and make him a lifetime Ursufobic (fobia of bears).
If your other lanes are not doing well fear not because on low levels almost noone ever suspects roaming and with 2-3 kills + some farm you cen get yourself a nice items to punish enemies on bot or top lane for overextend.

More fed you will be more easy it will be for you to just melt your enemies because of your farm lead, score lead and most importantly level advantage.

My little personal measure of perfect Annie smurf is a solobaron. You will need your Summon: Tibbers ofc, blue buff and Will of the Ancients for spellvamp but its actually possible and fun.

My friend once said "Its bad to smurf and you shouldnt do it" ... and he is probably right, but lately when im not in the mood for "the plays" on my main and just want to have fun without dull meta limits I play on my EUW smurf account.

If you are after something more "grown up" you can check my in-depth Morgana guide here and stay tuned for more and more content ill produce in future (i am planning a actual ranked play Annie support guide soon).
Feel free to comment in any language you want, but ill only answer those in English and Czech because im a racist f**kabish ;).