Okay, so yesterday at my local tournament my opponent played consumed on me. Twice. The action ended up burning us both for all our health at the same time. Now we basically just flipped for it to figure out who won; but I could really use a ruling on this. When do the effects resolve? Do they resolve at the same time killing us both? Or is there an order that the card deals damage?

You both get burned at the same time. But you resolve each Consumed one after the other.

If the same Consumed would kill you both, then it's a draw, if one player would be beaten by the first and the other the second, then the person who is beaten by the first Consumed would lose straight away and the second Consumed wouldn't resolve as the game would already be over.