Confirmed List of abilities prevented by Mold Breaker, Turboblaze, and Teravolt (poccil)
...
Battle Armor, Big Pecks, Clear Body, Contrary, Damp (both the Selfdestruct/Explosion effect and the Aftermath effect), Dry Skin (both the boosted power and absorbing Water attacks), Filter, Flash Fire, Flower Gift (both the Attack and Defense boosts), Heatproof, Heavy Metal, Hyper Cutter, Immunity, Inner Focus, Insomnia, Keen Eye, Leaf Guard, Levitate, Light Metal, Lightningrod, Limber, Magic Bounce, Magma Armor, Marvel Scale, Motor Drive, Multiscale, Oblivious, Own Tempo, Sand Veil, Shell Armor, Shield Dust, Simple, Snow Cloak, Solid Rock, Soundproof, Sticky Hold, Storm Drain, Sturdy, Suction Cups, Tangled Feet, Telepathy, Thick Fat, Unaware, Vital Spirit, Volt Absorb, Water Absorb, Water Veil, White Smoke, Wonder Guard, and Wonder Skin.