http://live.nicovideo.jp/watch/lv176694858
My Japanese isn't very good so the translation might be incorrect.
Spoilered because there are some things outdated and/or wrong. Don't cite this as a source anymore.
Spoiler
Types: Fire, Water, Electric, Wind, Earth, Steel, Nature, Light, Darkness, Phantom, Normal, Sound, Warrior, Poison
I'm not sure what 冥 means. Google translates it to "dark" while other sources give things such as deep, profound, unclear, and gloomy.
Now for the status conditions:
A puppet has two slots for abnormal conditions.
・Poison - Damages 2/16 HP at the end of every turn. 1 Slot
・Deadly Poison - At the end of each turn the damage increases. Damage increases 2/16, 3/16, 4/16, to a max of 15/16. Deadly poison is applied when poisoning something that is already poisoned. 2 Slots
・Burn - Damages 2/16 HP at the end of every turn. 1 Slot
・Heavy Burn - At the end of each turn the damage increases. Damage increases 2/16, 3/16, 4/16, to a max of 15/16. Heavy burn is applied when burning something that is already burned. 2 Slots
・Paralysis - Speed becomes 1/4. 1 Slot.
・Fear - Diffusion becomes 1/2. 1 Slot. -It's confusion.
・Darkness - Accuracy becomes 1/2. 1 Slot.
・Weakness - Prevents the use of healing spells. 1 Slot.
・Stop - Completely incapacitates for 2-4 turns. 2 Slots.