Games like Down with the Ship
Games like Down with the Ship include Backpack Battles, The Bazaar, 9 Kings, Slay the Spire 2, and Legion TD 2 - Multiplayer Tower Defense. We matched them by the tags players give Down with the Ship on Steam (Auto Battler, Inventory Management, Deckbuilding, Replay Value, and Space): closest matches first, and among equally close ones the better-known games.

Backpack Battles
Shared: Auto Battler · Inventory Management · PvP

The Bazaar
Shared: Auto Battler · Deckbuilding · Strategy

9 Kings
Shared: Auto Battler · Deckbuilding · Strategy

Slay the Spire 2
Shared: Deckbuilding · Strategy · Multiplayer

Legion TD 2 - Multiplayer Tower Defense
Shared: Auto Battler · PvP · Replay Value

Slay the Spire
Shared: Deckbuilding · Card Battler · Replay Value

FTL: Faster Than Light
Shared: Space · Strategy · Replay Value

Balatro
Shared: Deckbuilding · Replay Value · Strategy

ROUNDS
Shared: Deckbuilding · Multiplayer · Roguelite

Turnbound
Shared: Auto Battler · Inventory Management · Deckbuilding

He is Coming
Shared: Auto Battler · Strategy · Roguelite

Backpack Hero
Shared: Inventory Management · Replay Value · Deckbuilding

Mechabellum
Shared: Auto Battler · PvP · Strategy

One Step From Eden
Shared: Deckbuilding · Roguelite · Replay Value

Super Fantasy Kingdom
Shared: Auto Battler · Strategy · Deckbuilding

Backpack Dungeon
Shared: Inventory Management · Auto Battler · Deckbuilding

Monster Train
Shared: Deckbuilding · Roguelite · Card Battler

Dicey Dungeons
Shared: Deckbuilding · Roguelite · Card Battler

Stellaris
Shared: Space · Strategy · Sci-fi

Backpack Jianghu
Shared: Inventory Management · Auto Battler · PvP

Megaloot
Shared: Inventory Management · Roguelite · Replay Value

Magic: The Gathering Arena
Shared: Deckbuilding · PvP · Strategy

Commander Quest
Shared: Replay Value · Deckbuilding · Auto Battler

Inscryption
Shared: Deckbuilding · Card Battler · Roguelite