There are a few improvements we could make to Shyvana. You could call it the slightest of buffs. I call it frustration alleviation.
During her leap, you shouldn't be able to pull/push her. It's really annoying to go RAWR! only to be pulled halfway through your epic leap by a Darius or something. That just feels awful.
Second, during her leap she should be able to activate burnout and twin bite so they're immediately active after the leap (or even just during it would work). Sometimes there seems to be a small delay after landing and being able to hit burnout that really throws off the timing of things.