The 10 Most Broken and Illogical Power-Ups in Anime History
A "broken Power-Up" is an ability or transformation that drastically disrupts the pre-established power balance within a narrative. These sudden increases in strength are often introduced as a Deus Ex Machina or lack logical progression, guaranteeing the protagonist immediate victory at a high narrative cost. These 10 examples represent the most illogical and disruptive power increases in anime.
1. Powers That Redefine Combat (Absolute Multipliers)
These Power-Ups introduce strength multipliers that invalidate all previous character training.
Super Saiyan (Dragon Ball Z)
The foundational Power-Up. The first Super Saiyan level grants a 50x multiplier of base strength. Narratively, its activation is based on pure rage, without gradual training justifying such an increase, permanently redefining the franchise's power scaling.

Gear 5 / Nika (One Piece)
This transformation was revealed to be a mythological fruit, the Hito Hito no Mi, Model: Nika. Its nature of Cartoon Physics and the ability to illogically manipulate the user's and opponents' environment, coupled with the retcon revelation of its true identity, makes it a state that overrides previously established combat rules.

Limit Breaker (One-Punch Man)
Saitama's ability is the definition of "broken." It consists of an exponential growth in strength that transcends all physical or logical limits, allowing him to defeat any opponent with a single punch. This Power-Up is illogical by design, as it negates the need for conflict.

Final Getsuga Tenshou (Bleach)
A technique that grants absolute temporary power, but in exchange for the total loss of Shinigami powers. This ability, Mugetsu, allows for an instant victory against a god-tier opponent, being a disproportionate exchange between a one-time victory and narrative sacrifice.

2. Abilities That Ignore Physical and Logical Rules (Metaphysical)
These Power-Ups are based on willpower or concepts that surpass the natural laws of the fictional world.
Spiral Power (Tengen Toppa Gurren Lagann)
This power is based on willpower, belief, and fighting spirit, allowing users to manifest energy and machinery that defy physics. Its most "broken" manifestation allows mechas to grow to galactic scales and toss entire galaxies, making it illogical by definition.
Geass (Code Geass)
Lelouch vi Britannia's ability is an example of an instant win button. The Geass of "Absolute Obedience" allows total mind control over any person through eye contact. This ability nullifies character agency, breaking any direct combat or strategic challenge.

Eight Gates Released Formation (Naruto)
The release of the Eight Inner Gates provides access to strength and speed that surpasses even Kages. The Power-Up is illogical due to its cost: the user is destined to die. However, its activation guarantees a victory or, at minimum, the temporary neutralization of a god-tier opponent.

3. Conceptual and Illogical Powers (Narrative Effect)
These Power-Ups are tools that grant absolute control over fundamental concepts, not necessarily direct combat.
Death Note (Death Note)
It is not a combat Power-Up, but it is the most "broken" in conceptual terms. It grants the user (Light Yagami) the power to kill any person whose name and face he knows, without risk or physical cost. Its illogic resides in the simplicity of execution to achieve a life-and-death control effect.

Will to Live / Friendship Power (Fairy Tail)
While Natsu has Dragon Force, his greatest Power-Up is his constant ability to break limits based on his "will to live" or protect his friends. This recurring narrative device operates as an illogical power switch that activates in moments of desperation, regardless of the opponent's power level.
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Return by Death (Re:Zero)
Subaru Natsuki's ability to return to the past after death. It is the most illogical Power-Up because it nullifies the permanence of narrative consequences. It grants the protagonist an infinite "extra life" to solve any problem, breaking the tension of failure or defeat.

Conclusion
These Power-Ups are essential for high-stakes drama, but their sudden nature, disproportionate multipliers, or ability to override narrative rules establish them as the most "broken" in anime history. The implementation of such abilities severely complicates the future development of their respective series' power scales.