Initiative

Byakuya

Bleach

Passive, always on

Shunpo

• Passive, always on: 34.2% dodge; 100% initiative.

Hiei

Yu Yu Hakusho

Passive, always on

Espada Veloz

• Passive, always on: attacks 200% times per hit; 100% initiative.

Kenshin

Samurai X

Passive, always on

Battōjutsu

• Passive, always on: attacks 200% times per hit; 100% initiative.

Killua

Hunter x Hunter

Passive, always on

Garra Assassina

• Passive, always on: 100% initiative; 36% dodge.

Kirito

Sword Art Online

Passive, always on

Starburst Stream

• Passive, always on: attacks 200% times per hit; 100% initiative.

Levi

Attack on Titan

Passive, always on

Golpe de Alta Velocidade

• Passive, always on: 36% dodge; 100% initiative.

Sonic

One-Punch Man

Passive, always on

Velocidade Sônica

• Passive, always on: 100% initiative; 36% dodge.

Subaru

Re:Zero

Passive, always on

Retorno pela Morte

• Passive, always on: 66.7% chance to revive.
• After coming back to life: grants initiative to itself.

Yor

Spy x Family

Passive, always on

Thorn Strike

• Passive, always on: attacks 200% times per hit; 100% initiative.

A skill lands in as many categories as it earns: dealing damage and setting something on fire are two different things. The numbers are the game's own, at the skill level picked above.