As you can see. they are now "Spellcaster, Beast-warrior, and Fairy". For Loki, I understand him being a spellcaster. As for Thor, he should've been either a "Thunder" type since he's the god of thunder or a "Warrior" type. I never heard anything about Thor being a beast of any kind so it makes no sense to me for him to be a "Beast-warrior".
As for Odin, I'm not sure if "Fairy" was a right choice for him. I see him more as a "Warrior". Either way these three god cards are pretty powerful if you can get the proper support cards then you can build a deck for any of them. They all have high atk/def and powerful effects.