A lot of people were asking about these, so here you go.
In order: Flare, Burst, Tornado, Freeze, Quake, Flood.
During Flare, I show you the entire wait time between the cast of the spell and the spell's execution. Casting an ancient magic spell grants you a buff that, when close to expiring, will trigger the ancient magic spell near where the target was when you originally casted it.
For the rest of the spells, I skipped the wait period just to show the effects.