Games like SoundStorm
Games like SoundStorm include A Dance of Fire and Ice, Beat Hazard, Sky Force Reloaded, Waves, and Nova Drift. We matched them by the tags players give SoundStorm on Steam (Rhythm, Shoot 'Em Up, Psychedelic, Hand-drawn, and Score Attack): closest matches first, and among equally close ones the better-known games.

A Dance of Fire and Ice
Shared: Rhythm · Psychedelic · Arcade

Beat Hazard
Shared: Rhythm · Shoot 'Em Up · Bullet Hell

Sky Force Reloaded
Shared: Shoot 'Em Up · Top-Down Shooter · Bullet Hell

Waves
Shared: Shoot 'Em Up · Bullet Hell · Bullet Time

Nova Drift
Shared: Shoot 'Em Up · Bullet Hell · Arcade

Bit Blaster XL
Shared: Shoot 'Em Up · Bullet Hell · Shooter

BALL x PIT
Shared: Shoot 'Em Up · Bullet Hell · Top-Down Shooter

Melatonin
Shared: Rhythm · Hand-drawn · Indie

DoDonPachi Resurrection
Shared: Shoot 'Em Up · Top-Down Shooter · Bullet Hell

Planes, Bullets and Vodka
Shared: Shoot 'Em Up · Bullet Hell · Shooter

LUFTRAUSERS
Shared: Shoot 'Em Up · Bullet Hell · Arcade

Chippy
Shared: Shoot 'Em Up · Bullet Hell · Top-Down Shooter

Super Hexagon
Shared: Rhythm · Score Attack · Arcade

Beat Hazard 2
Shared: Rhythm · Top-Down Shooter · Shoot 'Em Up

Pistol Whip
Shared: Rhythm · Shooter · Arcade

Bot Vice
Shared: Shoot 'Em Up · Top-Down Shooter · Bullet Hell

Angel at Dusk
Shared: Psychedelic · Bullet Hell · Hand-drawn

Touhou Kinjoukyou ~ Fossilized Wonders.
Shared: Shoot 'Em Up · Bullet Hell · Shooter

ZeroRanger
Shared: Shoot 'Em Up · Bullet Hell · Indie

Just Shapes & Beats
Shared: Rhythm · Bullet Hell · 2D

WOWOWOW KORONE BOX
Shared: Shoot 'Em Up · Bullet Hell · Top-Down Shooter

Ikaruga
Shared: Shoot 'Em Up · Bullet Hell · Arcade

12 is Better Than 6
Shared: Hand-drawn · Top-Down Shooter · Shooter

Revolution Ace
Shared: Shoot 'Em Up · Bullet Hell · Shooter