You may be looking for a splashy finisher like
Comet Storm or
Torment of Hailfire, but that sort of card doesn't really show up in Azorius. The best approximation you'll get are blue's extra turn spells (
Expropriate,
Time Stretch, etc). I don't think that's an issue though. That's sort of the point of playing control - if your opponents are powerless to stop you, you can win with pretty much anything.
Ignoring combo and extra turn effects, beating down with evasive creatures would actually be my recommendation. There are a lot of excellent flyers in Azorius that can serve as a strong topend.
Avacyn, Angel of Hope,
Sphinx of Uthuun,
Diluvian Primordial... pretty much anything will work as long as you can stop your opponents from dealing with them, since most decks lack good defenses against large flyers. Fortunately, you're also in the best color combination to protect your creatures, with access to countermagic and protective effects like
Teferi's Protection,
Eerie Interlude, and
Flawless Maneuver.
After that, I'd probably recommend voltron. A lot of Azorius commanders are naturally evasive, so slap on an equipment like
Empyrial Plate and go to town. Again, just clear out blockers and keep attacking with your commander.
A third option is to softlock your opponents with recursion. Something like
Brago, King Eternal flickering
Archaeomancer to grab back
Counterspell every turn will make it very difficult for opponents to stop your plans, to say nothing of looping
Cyclonic Rift. Azorius has a lot of options for flicker and recursion engines to generate card advantage.