Add blood money to the list.
Marionette Possession doesn't make any claim as to what happens to the spells. I would infer that since it says you keep your class as you transfer to the creature, you could theoretically cast spells, as the class feature to cast spells transfers with you.
But there remains problems; components. If you try to cast a spell that requires a material component (not costly; any form of material component works), it would not work because the body you possess doesn't have a component pack, ergo no materials, therefore no means to cast the spell.
Subsiding that concern, you would otherwise be correct; the creature you inhabited would be affected by the spells you cited.
*EDIT* And just to clarify for AMF; after the spell is cast, the spellcaster is then reverted to his original body, as the spell's effect is suppressed. If AMF is dispelled or dissipates, the spellcaster would return to inhabiting the original target as normal, though after casting AMF on your BSF, chances are you'd discharge your Marionette Possession spell before it dissipates.
It's a long-standing mystery that has never been clarified. So ask your GM for their ruling.
I'm assuming that we arrange for the other body to have components, and many spells don't need material components. So that's not really a significant barrier.
The big question I have with AMF: So, when I cast it, which body does it emanate from? If it's the fighter's body, and it suppresses the possession, shunting me back to my own body, does the AMF stay up on his?
Because there's a lot of self-buff spells which would be extremely powerful if you could put them on the party's fighter...
Fair enough. As long as the body is willing and prepared, it is doable. Also, Focuses are an important part for some spells.
As far as I'm concerned, the Marionnette Possession is still active, but just doesn't work. So for the purposes of the creature affected (i.e. the Fighter, as that's the creature who cast the spell), it can control and do things on its own, as if the spell wasn't even cast. But once that AMF goes, the Possession is back online, and the caster's body instantly goes unconscious, and the original creature affected loses nearly all control.
Again, AMF does not Dispel an effect, it only treats it as if the spell wasn't even cast.