Games like Fragmentary
Games like Fragmentary include Into the Breach, Balatro, Slay the Spire 2, Inscryption, and Vampire Crawlers: The Turbo Wildcard from Vampire Survivors. We matched them by the tags players give Fragmentary on Steam (Puzzle, Card Battler, Turn-Based Combat, Singleplayer, and Grid-Based Movement): closest matches first, and among equally close ones the better-known games.

Into the Breach
Shared: Puzzle · Indie · Turn-Based Tactics

Balatro
Shared: Singleplayer · Card Game · Indie

Slay the Spire 2
Shared: Card Game · Turn-Based Combat · Card Battler

Inscryption
Shared: Card Battler · Puzzle · Card Game

Vampire Crawlers: The Turbo Wildcard from Vampire Survivors
Shared: Card Battler · Singleplayer · Card Game

Slay the Spire
Shared: Card Battler · Card Game · Singleplayer

The Last Spell
Shared: Singleplayer · Turn-Based Combat · Turn-Based Tactics

Library Of Ruina
Shared: Turn-Based Combat · Card Game · Singleplayer

Baba Is You
Shared: Puzzle · Singleplayer · Indie

Papers, Please
Shared: Indie · Singleplayer · Puzzle

Infinity Wars: Animated Trading Card Game
Shared: Card Battler · Card Game · Turn-Based Combat

FEZ
Shared: Puzzle · Indie · Singleplayer

Firework
Shared: Puzzle · Indie · Singleplayer

There Is No Game: Wrong Dimension
Shared: Puzzle · Indie · Singleplayer

Roguebook
Shared: Indie · Singleplayer · Card Game

Monster Train
Shared: Card Battler · Card Game · Turn-Based Tactics

Zup! S
Shared: Puzzle · Indie · Singleplayer

STAR WARS Zero Company™
Shared: Singleplayer · Turn-Based Tactics · Turn-Based Combat

Gunpoint
Shared: Puzzle · Indie · Singleplayer

The Room
Shared: Puzzle · Singleplayer · Mystery

Blue Prince
Shared: Puzzle · Singleplayer · Mystery

OneShot
Shared: Puzzle · Indie · Singleplayer

XCOM 2
Shared: Turn-Based Combat · Singleplayer · Turn-Based Tactics

Gorogoa
Shared: Puzzle · Singleplayer · Indie