Games like Dungeon Invader
Games like Dungeon Invader include Monster Train, Slay the Spire, Slay the Spire 2, Inscryption, and Vampire Crawlers: The Turbo Wildcard from Vampire Survivors. We matched them by the tags players give Dungeon Invader on Steam (Card Battler, Turn-Based Tactics, Dungeon Crawler, Roguelite, and PvE): closest matches first, and among equally close ones the better-known games.

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

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

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

Inscryption
Shared: Card Battler · Card Game · Roguelite

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

Balatro
Shared: Card Game · Roguelike · Roguelite

Trials of Fire
Shared: Card Battler · Turn-Based Tactics · Roguelite

Wildfrost
Shared: Card Battler · Turn-Based Tactics · Card Game

Black Book
Shared: Card Battler · Turn-Based Tactics · Dungeon Crawler

Die in the Dungeon
Shared: Card Battler · Roguelike · Card Game

Darkest Dungeon® II
Shared: Turn-Based Tactics · Roguelite · Dungeon Crawler

LONESTAR
Shared: Turn-Based Tactics · Card Battler · Roguelike

Dream of Corpse Lady
Shared: Card Battler · Turn-Based Tactics · Card Game

As We Descend
Shared: Card Battler · Turn-Based Tactics · Card Game

9 Kings
Shared: Card Game · Strategy · Roguelike

Dice & Fold
Shared: Card Battler · Dungeon Crawler · Turn-Based Tactics

StarVaders
Shared: Turn-Based Tactics · Roguelite · Card Game

Griftlands
Shared: Card Battler · Roguelite · Card Game

Cross Blitz
Shared: Roguelite · Card Battler · Card Game

Inkbound
Shared: Turn-Based Tactics · Roguelite · PvE

Touhou: Lost Branch of Legend
Shared: Card Battler · Turn-Based Tactics · Card Game

Into the Breach
Shared: Turn-Based Tactics · Turn-Based Strategy · Strategy

Mewgenics
Shared: Turn-Based Tactics · Roguelite · Turn-Based Strategy

Dicey Dungeons
Shared: Card Battler · Roguelite · Roguelike