Here are some first plots I'll suggest. I'm trying to keep them as simple as possible so you have room for originality.
Lighting her way
After an accident at the Institute of War and a nasty bump on the head, Lux loses her memory. And while her friends try to restore her memory, Leblanc seeks to manipulate the confused girl into becoming a loyal follower of Noxus!
I will be the best!
Wukong challenges Jax to a duel, but what starts as a simple one-on-one turns into a philosophical battle on why they fight.
Growth Spurt
A magical accident ends up aging Annie several years, turning her into a very attractive teenage girl. But with these new looks also comes attitude and an increase in her powers that she may not be able to control!
Girl Talk?
Shyvana is quite jealous that Quinn is spending so much time with Jarvan, and confronts the scout on the matter. Things only get worse as Shyvana takes things the wrong way, and starts openly competing with Quinn for Jarvan's affections. And all the while, Jarvan IV is clueless as to what is going on. XD
And for something different, a crossover fic!
Light Legend Story (Kingdom Hearts crossover; post-Birth By Sleep)
Keyblade Master Aqua ends up pulled to Runeterra from the Realm of Darkness by a Summoning ritual, and has to adapt to living in a new world and to being a Champion in the League of Legends. With the help of Leona, she seeks to find a way back to her home, but must also contend with the appearance of the Heartless in Valoran. A sinister plot is stirring behind the scenes, and Aqua may be the only one who can stop it...