Games like Dr. COG
Games like Dr. COG include Balatro, Slay the Spire, Slay the Spire 2, Papers, Please, and Tiny Bunny. We matched them by the tags players give Dr. COG on Steam (Visual Novel, Roguelike Deckbuilder, Indie, Point & Click, and Atmospheric): closest matches first, and among equally close ones the better-known games.

Balatro
Shared: Roguelike Deckbuilder · Roguelike · Indie

Slay the Spire
Shared: Roguelike Deckbuilder · Roguelike · Indie

Slay the Spire 2
Shared: Roguelike Deckbuilder · Roguelike · Indie

Papers, Please
Shared: Indie · Point & Click · Atmospheric

Tiny Bunny
Shared: Visual Novel · Atmospheric · Choices Matter

Chrono Ark
Shared: Roguelike Deckbuilder · Indie · Anime

Beholder
Shared: Atmospheric · Strategy · Choices Matter

NEEDY STREAMER OVERLOAD
Shared: Visual Novel · Anime · Indie

STEINS;GATE
Shared: Visual Novel · Anime · Atmospheric

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

OPUS: Echo of Starsong - Full Bloom Edition
Shared: Visual Novel · Indie · Anime

FTL: Faster Than Light
Shared: Indie · Roguelike · Strategy

The Crown of Leaves
Shared: Visual Novel · Indie · Point & Click

Long Live The Queen
Shared: Visual Novel · Indie · Anime

The Red Strings Club
Shared: Indie · Atmospheric · Point & Click

Dicey Dungeons
Shared: Roguelike Deckbuilder · Indie · Roguelike

Luck be a Landlord
Shared: Roguelike Deckbuilder · Strategy · Deckbuilding

Disco Elysium - The Final Cut
Shared: Atmospheric · Point & Click · Visual Novel

Love, Money, Rock'n'Roll
Shared: Visual Novel · Anime · Atmospheric

Vault of the Void
Shared: Roguelike Deckbuilder · Indie · Strategy

Firework
Shared: Indie · Visual Novel · Atmospheric

StarVaders
Shared: Roguelike Deckbuilder · Visual Novel · Deckbuilding

VA-11 Hall-A: Cyberpunk Bartender Action
Shared: Visual Novel · Point & Click · Indie

Lucy -The Eternity She Wished For-
Shared: Visual Novel · Anime · Indie