Spoilers ahead: for the puzzle and the movies/games
This page reveals all categories and answers for this puzzle. It also discusses plot details, story endings, and other spoilers for some of the movies/games shown.
easy
Mascot platformers outside Nintendo
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These games come from the mascot-platformer boom, where every studio seemed legally required to produce a creature with attitude and a double jump.
medium
Games adapted into movies
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hard
Mech combat puts you in the machine
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These games make the machine the fantasy. Movement, aiming, weight, and customization all come through the idea that you are not just carrying a weapon. You are inside one.
tricky
Powered suits and altered bodies do the fighting
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Each game changes the player through a body or suit built for violence. The upgrade path is not just equipment. It is the character becoming harder to separate from the weapon.