Games like Alchi
Games like Alchi include Slay the Spire, Slay the Spire 2, Balatro, Monster Train, and Wildfrost. We matched them by the tags players give Alchi on Steam (Roguelike Deckbuilder, Deckbuilding, Card Game, Card Battler, and Roguelike): closest matches first, and among equally close ones the better-known games.

Slay the Spire
Shared: Roguelike Deckbuilder · Card Game · Card Battler

Slay the Spire 2
Shared: Deckbuilding · Card Game · Roguelike

Balatro
Shared: Roguelike Deckbuilder · Card Game · Deckbuilding

Monster Train
Shared: Card Battler · Card Game · Deckbuilding

Wildfrost
Shared: Roguelike Deckbuilder · Card Battler · Card Game

9 Kings
Shared: Card Game · Deckbuilding · Roguelike Deckbuilder

Dicey Dungeons
Shared: Roguelike Deckbuilder · Deckbuilding · Card Battler

Die in the Dungeon
Shared: Deckbuilding · Roguelike Deckbuilder · Roguelike

Super Fantasy Kingdom
Shared: Roguelike · Card Game · Deckbuilding

Monster Train 2
Shared: Roguelike Deckbuilder · Card Game · Deckbuilding

DICEOMANCER
Shared: Card Game · Roguelike Deckbuilder · Card Battler

Dungeons & Degenerate Gamblers
Shared: Roguelike Deckbuilder · Card Game · Deckbuilding

Inscryption
Shared: Card Game · Card Battler · Deckbuilding

Breachway
Shared: Card Game · Deckbuilding · Roguelike Deckbuilder

Decktamer
Shared: Roguelike Deckbuilder · Card Game · Card Battler

Astrea: Six-Sided Oracles
Shared: Roguelike Deckbuilder · Card Game · Card Battler

Vampire Crawlers: The Turbo Wildcard from Vampire Survivors
Shared: Deckbuilding · Card Battler · Roguelike

Ratropolis
Shared: Deckbuilding · Card Battler · Roguelite

StarVaders
Shared: Roguelike Deckbuilder · Deckbuilding · Roguelite

RACCOIN: Coin Pusher Roguelike
Shared: Deckbuilding · Roguelike Deckbuilder · Roguelike

Library Of Ruina
Shared: Card Game · Deckbuilding · Difficult

My Card Is Better Than Your Card!
Shared: Deckbuilding · Card Game · Roguelike

Roguebook
Shared: Card Game · Deckbuilding · Roguelite

As We Descend
Shared: Roguelike Deckbuilder · Card Game · Card Battler