Have you tried Orianna mid? She's somewhat similar to Azir in the fact that her abilities are reliant on her ball instead of herself (like Azir is with soldiers).
Fiddlesticks jungle can be hilarious if you get good ultimates. It's just really fun to play the whole vision and ambushing game for the entire game, really fits his theme.
You might enjoy Lulu support. You have to use your abilities optimally and play a poke/spacing game when laning. Later in the game you can peel for your allies magnificently and help them chase people down.
I might be able to help more if you tell use more about your playstyle. I mostly just picked champions with some similarities to Azir in the different roles (except Fiddlesticks, cause he's just fun)