Games like Hayden's Odyssey
Games like Hayden's Odyssey include The Binding of Isaac: Rebirth, Hades, The Binding of Isaac, Hades II, and Enter the Gungeon. We matched them by the tags players give Hayden's Odyssey on Steam (Action Roguelike, Dungeon Crawler, Roguelike, Procedural Generation, and Sci-fi): closest matches first, and among equally close ones the better-known games.

The Binding of Isaac: Rebirth
Shared: Action Roguelike · Roguelike · Dungeon Crawler

Hades
Shared: Action Roguelike · Roguelike · Action

The Binding of Isaac
Shared: Action Roguelike · Roguelike · Procedural Generation

Hades II
Shared: Roguelike · Action Roguelike · Action

Enter the Gungeon
Shared: Action Roguelike · Roguelike · Dungeon Crawler

Brotato
Shared: Roguelike · Action Roguelike · Singleplayer

Megabonk
Shared: Action Roguelike · Roguelike · Action

Wizard of Legend
Shared: Action Roguelike · Roguelike · Dungeon Crawler

Dungreed
Shared: Action Roguelike · Roguelike · Dungeon Crawler

Dome Keeper
Shared: Roguelike · Sci-fi · Singleplayer

Mortal Sin
Shared: Action Roguelike · Dungeon Crawler · Procedural Generation

Moonlighter
Shared: Dungeon Crawler · Action Roguelike · Roguelike

Heroes of Hammerwatch II
Shared: Action Roguelike · Dungeon Crawler · Roguelike

Dungeons of Blood and Dream
Shared: Action Roguelike · Dungeon Crawler · Roguelike

UnderMine
Shared: Action Roguelike · Dungeon Crawler · Action

Dead Cells
Shared: Roguelike · Action Roguelike · Singleplayer

SULFUR
Shared: Action Roguelike · Dungeon Crawler · Singleplayer

Barony
Shared: Dungeon Crawler · Action Roguelike · Roguelike

Cinderia
Shared: Action Roguelike · Roguelike · Dungeon Crawler

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

Skul: The Hero Slayer
Shared: Action Roguelike · Roguelike · Action

Slasher's Keep
Shared: Action Roguelike · Dungeon Crawler · Roguelike

Risk of Rain 2
Shared: Action Roguelike · Roguelike · Action

Vampire Survivors
Shared: Action Roguelike · Roguelike · Singleplayer