Two sprites on top of each other = not pretty

[Enjay]

Is there anything that can be done about the anomalies you get when 2 sprites are in the same place? It's most obvious when two items have been put in exactly the same spot, however, I have also noticed it when something like a fireball explodes right in my face (not quite sure what the two clashing spites are in that case - possibly the first fireball exploding and a second one hitting me at the same time).

[Graf Zahl]

These are inaccuracies caused by the Z-buffer. There's no trivial solution for it so the best I can say is 'maybe' - under the condition that I have an idea how to solve this efficiently.