Games like D.A.M. Champion
Games like D.A.M. Champion include Monster Sanctuary, Chained Echoes, Cassette Beasts, Coromon, and FINAL FANTASY. We matched them by the tags players give D.A.M. Champion on Steam (RPG, Creature Collector, Indie, Adventure, and Turn-Based Combat): closest matches first, and among equally close ones the better-known games.

Monster Sanctuary
Shared: Creature Collector · Turn-Based Combat · Pixel Graphics

Chained Echoes
Shared: RPG · Indie · Turn-Based Combat

Cassette Beasts
Shared: Creature Collector · Turn-Based Combat · Adventure

Coromon
Shared: Creature Collector · Turn-Based Combat · Exploration

FINAL FANTASY
Shared: RPG · Turn-Based Combat · JRPG

The World of Kungfu: Dragon and Eagle
Shared: RPG · Indie · Adventure

Clair Obscur: Expedition 33
Shared: RPG · Turn-Based Combat · Adventure

Epic Battle Fantasy 5
Shared: Indie · Creature Collector · Adventure

Nexomon: Extinction
Shared: Creature Collector · RPG · Turn-Based Combat

Look Outside
Shared: RPG · Turn-Based Combat · Adventure

Nexomon
Shared: RPG · Creature Collector · Indie

Undertale
Shared: RPG · Indie · Pixel Graphics

Finding Paradise
Shared: RPG · Adventure · 2D

OneShot
Shared: Indie · Pixel Graphics · Adventure

Terraria
Shared: 2D · Adventure · Pixel Graphics

To the Moon
Shared: Indie · Adventure · RPG

FINAL FANTASY VI
Shared: RPG · 2D · Adventure

Doom & Destiny
Shared: RPG · Indie · Turn-Based Combat

Temtem
Shared: Creature Collector · RPG · Turn-Based Combat

Evoland
Shared: RPG · Indie · Adventure

OMORI
Shared: Indie · RPG · Pixel Graphics

Hyper Light Drifter
Shared: Indie · Adventure · Pixel Graphics

Hylics
Shared: RPG · Indie · Adventure

FINAL FANTASY II
Shared: RPG · JRPG · Turn-Based Combat