Foxiiiieeee I'm so glad you're here~! Okay so, I have a few ideas based on what you've provided. When characters come to the game, any powers that aren't physically natural or mental skills are nerfed, and since you're playing him from straight Toy Story canon (or are you not?), he wouldn't have access to any Kingdom Hearts abilities anyway. So Woody is still a good leader and he can still use a lasso if he can get his hands on a rope, but not anything else. (Actually, I might have to ask the other mods if "toy mode" can be kept, could be interesting either way.)

HOWEVER, that's where the Essence comes in: it fuses with the character to provide new abilities that they can use to fight Erasers and rebuild the story, plus or minus mild to moderate changes to their physical appearance, and one or two small changes to their personality (that's what the Quirk section refers to).

So with all that explanation out of the way, here are some ideas I have for what Woody might receive and be able to do based on which Essence you choose for him. I also thought of a couple other potential Essences you might like~ :)


Nightingale:
Appearance: Nightingale wings, gray and brown clothes (possibly Chinese-style)
Abilities: Flight, shapeshifting into a nightingale (plus or minus only being able to fly in that form), singing magic
Potential Quirks: Increased humility; singing/humming/whistling more frequently

Velveteen Rabbit:
Appearance: Rabbit ears, possibly turning completely plush made of velveteen and sawdust, or just velveteen clothes.
Abilities: Shapeshifting into a rabbit with accompanying powers
Potential Quirks: More proud/sensitive about his appearance; fear of fire

Tin Soldier:
Appearance: Dressed in soldier clothing, plus or minus missing a leg
Abilities: Since you said no guns I'll nix offering a musket, but what about instead of that, he's able to turn into metal for a VERY short time ala Colossus, so he'd have very short-term enhanced durability and possibly even super strength. He could also have a saber instead of a musket for his weapon, plus or minus knowing how to use it already.
Potential Quirks: Fear of fire; more stoic and disciplined

Nutcracker:
Appearance: Congrats, Woody, you’re a nutcracker now
Abilities: Jaw strength, saber (plus or minus the knowledge and skill to use it), being able to grow full-sized at will (possibly be able to “share” the ability to shrink down with other Aspects through as his powers grow stronger through campaign rewards), nut grenades (different nut types might have different powers)
Potential Quirks: Fear of fire for that hat trick /BOOT! Okay but really… Hoffman’s Nutcracker was a proud, hot-tempered soldier, and he had a bit of a drill sergeant streak to him too, so something along those lines might work if you want

Hopefully that helps, let me know if you have any more questions.