Games like The Flames
Games like The Flames include BALL x PIT, Nova Drift, SNKRX, Deep Rock Galactic: Survivor, and Vampire Survivors. We matched them by the tags players give The Flames on Steam (Action, 2D Fighter, Action Roguelike, Arcade, and Roguelike): closest matches first, and among equally close ones the better-known games.

BALL x PIT
Shared: Action · Arcade · Action Roguelike

Nova Drift
Shared: Arcade · Action Roguelike · Shoot 'Em Up

SNKRX
Shared: Action Roguelike · Arena Shooter · Arcade

Deep Rock Galactic: Survivor
Shared: Action Roguelike · Action · Top-Down Shooter

Vampire Survivors
Shared: Action Roguelike · Roguelike · Action

The Binding of Isaac
Shared: Action Roguelike · Roguelike · Action

Brotato
Shared: Roguelike · Action Roguelike · Arena Shooter

Nuclear Throne
Shared: Action Roguelike · Roguelike · Action

Risk of Rain 2
Shared: Action Roguelike · Action · Roguelike

Halls of Torment
Shared: Action Roguelike · Action · Roguelike

Skul: The Hero Slayer
Shared: Action · Action Roguelike · Roguelike

Crab Champions
Shared: Action Roguelike · Roguelike · Arcade

Glyphica: Typing Survival
Shared: Action Roguelike · Action · Arena Shooter

OMFG: One Million Fatal Guns
Shared: Action · Arcade · Arena Shooter

Megabonk
Shared: Action Roguelike · Roguelike · Action

Slime 3K: Rise Against Despot
Shared: Action Roguelike · Roguelike · Shoot 'Em Up

The Binding of Isaac: Rebirth
Shared: Action Roguelike · Roguelike · 2D

Risk of Rain Returns
Shared: Action Roguelike · Action · 2D

Rogue Legacy
Shared: Action · Action Roguelike · Roguelike

Zombieville USA 3D
Shared: Action · Arcade · Action Roguelike

Enter the Gungeon
Shared: Action Roguelike · Roguelike · Action

Hades
Shared: Action Roguelike · Action · Roguelike

Hades II
Shared: Action · Roguelike · Action Roguelike

SYNTHETIK: Legion Rising
Shared: Action · Action Roguelike · Top-Down Shooter