Games like Savage
Games like Savage include METAL SLUG 3, METAL SLUG, Broforce, Shovel Knight: Treasure Trove, and Bloodstained: Curse of the Moon. We matched them by the tags players give Savage on Steam (Action, Platformer, Retro, Arcade, and Side Scroller): closest matches first, and among equally close ones the better-known games.

METAL SLUG 3
Shared: Action · Arcade · Retro

METAL SLUG
Shared: Action · Arcade · Side Scroller

Broforce
Shared: Action · Platformer · Side Scroller

Shovel Knight: Treasure Trove
Shared: Platformer · Retro · Action

Bloodstained: Curse of the Moon
Shared: Action · Retro · Platformer

Sonic Mania
Shared: Platformer · Retro · Action

Rogue Legacy 2
Shared: Platformer · Action · Arcade

Contra Anniversary Collection
Shared: Action · Retro · Side Scroller

STRIDER
Shared: Platformer · Action · Side Scroller

Huntdown
Shared: Action · Side Scroller · Retro

Blazing Chrome
Shared: Action · Retro · Side Scroller

Volgarr the Viking
Shared: Platformer · Action · Retro

METAL SLUG 2
Shared: Action · Arcade · Side Scroller

METAL SLUG X
Shared: Action · Arcade · Retro

Mighty No. 9
Shared: Action · Platformer · Side Scroller

METAL SLUG XX
Shared: Action · Retro · Arcade

NINJA GAIDEN: Ragebound
Shared: Action · Platformer · Retro

Streets of Rage 4
Shared: Action · Arcade · Side Scroller

Sonic Origins
Shared: Action · Retro · Platformer

The Messenger
Shared: Platformer · Retro · Action

Contra: Operation Galuga
Shared: Action · Platformer · Arcade

SHINOBI: Art of Vengeance
Shared: Action · Platformer · Side Scroller

Terminator 2D: NO FATE
Shared: Action · Side Scroller · Arcade

Mega Man 11
Shared: Action · Platformer · Side Scroller