Sorry for the late reply. DX
Anyways, here they are.
x1 Nova Spiral: Only available once, every other brawl. Increases your Helios' power level by 200 Gs, as well as decreases your opponent's power level by 400 Gs.
x2 Tornado Barrier: Allows your Neo Dragonoid to negate your opponent's active Ability cards, as well as decrease your opponent's bakugan by 100 Gs.
x3 Maximum Quasar: Increases your Helios' power level by 300 Gs.
x1 Nova Defenser: Only available once, every other brawl. Increases your Helios' power level by 200 Gs, as well as decreases your opponent's power level by 400 Gs.
x3 Red Valkyrie: Increases your Metalfencer's power level by 200 Gs.
EDIT: Do the Neutral players have any special rules, or do they just carry over what they had from their original Profile?