Games like PsyBurst
Games like PsyBurst include Streets of Rage 4, Stick Fight: The Game, ROUNDS, Rivals of Aether, and Brawlhalla. We matched them by the tags players give PsyBurst on Steam (Indie, Action, Fighting, Side Scroller, and Local Co-Op): closest matches first, and among equally close ones the better-known games.

Streets of Rage 4
Shared: Action · Indie · Beat 'em up

Stick Fight: The Game
Shared: Fighting · Action · Local Multiplayer

ROUNDS
Shared: Fighting · Action · Indie

Rivals of Aether
Shared: Fighting · Indie · 2D Fighter

Brawlhalla
Shared: Fighting · 2D Fighter · Action

One Finger Death Punch
Shared: Action · Indie · Fighting

Broforce
Shared: Action · Indie · Local Co-Op

Shank
Shared: Action · Indie · Beat 'em up

Rivals of Aether II
Shared: Fighting · Indie · Action

Absolum
Shared: Beat 'em up · Local Co-Op · Action

TowerFall Ascension
Shared: Indie · Action · Local Multiplayer

DRAGON BALL FighterZ
Shared: Fighting · Action · 2D Fighter

Fight'N Rage
Shared: Action · Beat 'em up · Local Co-Op

Lethal League Blaze
Shared: Indie · Action · Fighting

Lethal League
Shared: Indie · Fighting · Action

Skullgirls 2nd Encore
Shared: Indie · Fighting · 2D Fighter

Shank 2
Shared: Action · Indie · Beat 'em up

Mortal Kombat 11
Shared: Fighting · Action · 2D Fighter

Divekick
Shared: Indie · Fighting · Action

Injustice™ 2
Shared: Fighting · Action · 2D Fighter

Them's Fightin' Herds
Shared: Action · Fighting · Indie

Street Fighter X Tekken
Shared: Action · Fighting · 2D Fighter

Mortal Kombat X
Shared: Fighting · Action · 2D Fighter

A Few Quick Matches
Shared: Indie · Fighting · Action

