Games like DODGE-AND-RUN!
Games like DODGE-AND-RUN! include Haste, Kena: Bridge of Spirits, Tomb Raider Game of the Year, Rise of the Tomb Raider™, and ALTF4. We matched them by the tags players give DODGE-AND-RUN! on Steam (Runner, Atmospheric, Ninja, Action, and 3D Platformer): closest matches first, and among equally close ones the better-known games.

Haste
Shared: Runner · 3D Platformer · Action

Kena: Bridge of Spirits
Shared: Action · 3D Platformer · Atmospheric

Tomb Raider Game of the Year
Shared: Action · Female Protagonist · Atmospheric

Rise of the Tomb Raider™
Shared: Action · Female Protagonist · Adventure

ALTF4
Shared: Runner · 3D Platformer · Action

VHOLUME
Shared: Atmospheric · Runner · 3D Platformer

Mirror's Edge™ Catalyst
Shared: Runner · 3D Platformer · Action

Hellblade: Senua's Sacrifice
Shared: Atmospheric · Female Protagonist · Action

Pumpkin Jack
Shared: Action · 3D Platformer · Atmospheric

A Plague Tale: Requiem
Shared: Action · Atmospheric · Female Protagonist

Kao the Kangaroo: Round 2 (2003 re-release)
Shared: Action · 3D Platformer · Casual

Grand Theft Auto V Legacy
Shared: Action · Third Person · Atmospheric

ATLYSS
Shared: Action · 3D Platformer · Casual

Planet of Lana
Shared: Action · Atmospheric · Female Protagonist

Phantom Abyss
Shared: Action · 3D Platformer · Runner

NARUTO SHIPPUDEN: Ultimate Ninja STORM 4
Shared: Action · Ninja · Adventure

Hades II
Shared: Action · Roguelite · Female Protagonist

A Plague Tale: Innocence
Shared: Atmospheric · Action · Female Protagonist

Aragami
Shared: Ninja · Action · Atmospheric

Batman™: Arkham Knight
Shared: Action · Atmospheric · Third Person

Ghost of Tsushima DIRECTOR'S CUT
Shared: Action · Ninja · Adventure

Warhammer 40,000: Space Marine 2
Shared: Action · PvE · Third Person

Black Myth: Wukong
Shared: Action · Atmospheric · 3D

Pseudoregalia
Shared: 3D Platformer · Female Protagonist · Action