Games like Noonie
Games like Noonie include Vampire Survivors, Broforce, Streets of Rage 4, Human Fall Flat, and Cuphead. We matched them by the tags players give Noonie on Steam (Indie, Action, Puzzle, Singleplayer, and Perma Death): closest matches first, and among equally close ones the better-known games.

Vampire Survivors
Shared: Indie · Singleplayer · Roguelite

Broforce
Shared: Action · Co-op · Indie

Streets of Rage 4
Shared: Action · Indie · Arcade

Human Fall Flat
Shared: Co-op · Puzzle · Action

Cuphead
Shared: Co-op · Indie · Local Co-Op

Spelunky
Shared: Indie · Local Co-Op · 2D

The Binding of Isaac: Rebirth
Shared: Indie · Singleplayer · 2D

Skul: The Hero Slayer
Shared: Indie · Action · Singleplayer

Hades
Shared: Indie · Action · Roguelite

Windowkill
Shared: Indie · Action · Arcade

Risk of Rain (2013)
Shared: Indie · Action · Co-op

UFO 50
Shared: Indie · Action · Arcade

Nobody Saves the World
Shared: Indie · Singleplayer · Co-op

Rogue Legacy 2
Shared: Action · Indie · Arcade

Gang Beasts
Shared: Action · Co-op · Indie

BADLAND: Game of the Year Edition
Shared: Indie · Action · Co-op

Pikuniku
Shared: Indie · Puzzle · Co-op

Unravel Two
Shared: Co-op · Puzzle · Action

Polarity
Shared: Indie · Puzzle · Action

Rhythm Doctor
Shared: Indie · Action · Singleplayer

Castle Crashers®
Shared: Co-op · 2D · Action

The Binding of Isaac
Shared: Indie · Action · Singleplayer

Rocketbirds: Hardboiled Chicken
Shared: Indie · Action · Co-op

It Takes Two
Shared: Co-op · Puzzle · Local Co-Op