- H1Z1: Just Survive (Xbox One)
- H1Z1: King of the Kill (Xbox One)
- Habitat: A Thousand Generations in Orbit (Xbox One)
- Hades (Xbox Series X|S)
- Half Life 2 (Xbox)
- Halo (Xbox)
- Halo 2 (Xbox)
- Halo 3 (Xbox 360)
- Halo 4 (Xbox 360)
- Halo 5: Guardians (Xbox One)
- Halo Infinite (Xbox One)
- Halo Infinite (Xbox Series X|S)
- Halo Wars (Xbox One)
- Halo Wars 2 (Xbox One)
- Halo: Combat Evolved Anniversary (Xbox 360)
- Halo: Reach (Xbox 360)
- Halo: Spartan Assault (Xbox 360)
- Halo: Spartan Assault (Xbox One)
- Halo: The Master Chief Collection (Xbox One)
- Hammerwatch (Xbox One)
- Hand of Fate (Xbox One)
- Hand of Fate 2 (Xbox One)
- Handball 16 (Xbox 360)
- Handball 16 (Xbox One)
- Happy Dungeons (Xbox One)
- Happy Wars (Xbox One)
- Hard Reset Redux (Xbox One)
- Hard West Ultimate Edition (Xbox One)
- HardCube (Xbox One)
- Hardspace: Shipbreaker (Xbox Series X|S)
- Harley Pasternak's Hollywood Workout (Xbox 360)
- Harry Potter and the Chamber of Secrets (Xbox)
- Harry Potter and the Deathly Hallows: Part I (Xbox 360)
- Harry Potter for Kinect (Xbox 360)
- Hasbro Family Fun Pack (Xbox One)
- Haunt (Xbox 360)
- Haven (Xbox Series X|S)
- HAWKEN (Xbox One)
- Hayfever (Xbox One)
- Headlander (Xbox One)
- Headliner: NoviNews (Xbox One)
- Headspun (Xbox One)
- Heal: Console Edition (Xbox Series X|S)
- Heart&Slash (Xbox One)
- Hearts of Iron IV: Cadet Edition (Xbox for PC)
- HeartZ: Co-Hope Puzzles (Xbox One)
- Heave Ho (Xbox for PC)
- Helheim Hassle (Xbox One)
- Hell Let Loose (Xbox Series X|S)
- Hell Warders (Xbox One)
- Hellblade: Senua's Sacrifice (Xbox One)
- Hellbreachers (Xbox Series X|S)
- Hellfront: Honeymoon (Xbox One)
- Hellmut: The Badass From Hell (Xbox One)
- Hello Neighbor (Xbox One)
- Hello Neighbor 2 (Xbox Series X|S)
- Hellpoint (Xbox One)
- Hellraid (Xbox One)
- Her Majesty's SPIFFING (Xbox One)
- Her Story (Xbox for PC)
- Hero Express (Xbox One)
- Heroes of Hammerwatch - Ultimate Edition (Xbox One)
- Heroes Trials (Xbox One)
- Hexodious (Xbox 360)
- Hexologic (Xbox One)
- Hi-Fi RUSH (Xbox Series X|S)
- High On Life (Xbox Series X|S)
- Himno (Xbox One)
- History: Legends of War (Xbox 360)
- Hitman (Xbox One)
- Hitman 2 (Xbox One)
- Hitman 3 (Xbox Series X|S)
- Hitman HD (Xbox One)
- Hitman Trilogy (Xbox Series X|S)
- Hitman: Episode 2 - Sapienza (Xbox One)
- Hive Jump (Xbox One)
- Hoa (Xbox Series X|S)
- Hoggy2 (Xbox One)
- Hogwarts Legacy (Xbox Series X|S)
- Hole in the Wall (Xbox 360)
- Hole in the Wall Deluxe Edition (Xbox 360)
- Hollow (Xbox One)
- Hollow Knight (Xbox One)
- Hollow Knight: Silksong (Xbox Series X|S)
- Home Run Stars (Xbox 360)
- Home Sweet Home (Xbox One)
- Homefront: The Revolution (Xbox One)
- Homestead Arcana (Xbox Series X|S)
- Hood: Outlaws and Legends (Xbox Series X|S)
- Hookbots (Xbox One)
- Hot Wheels Unleashed (Xbox Series X|S)
- Hot Wheels: World's Best Driver (Xbox 360)
- Hotel Transylvania 3: Monsters Overboard and Crayola Scoot (Xbox One)
- Hotline Miami Collection (Xbox Series X|S)
- Hotshot Racing (Xbox One)
- House Flipper (Xbox One)
- Hover Cubes: Arena (Xbox One)
- Hover: Revolt of Gamers (Xbox One)
- Hovership Havoc (Xbox One)
- How To Survive (Xbox 360)
- How To Survive 2 (Xbox One)
- How to Survive: Storm Warning Edition (Xbox One)
- How To Train Your Dragon 2 (Xbox 360)
- HTR+ High Tech Racing (Xbox One)
- Hue (Xbox One)
- Hulk Hogan's Main Event (Xbox 360)
- Human Element (Xbox One)
- Human: Fall Flat (Xbox One)
- Humankind (Xbox Series X|S)
- Hungry Shark World (Xbox One)
- Hunt: Showdown (Xbox One)
- Hunter's Trophy 2: America (Xbox 360)
- Hunting Simulator (Xbox One)
- Hunting Simulator 2 (Xbox One)
- Hunting Simulator 2 (Xbox Series X|S)
- Hush: Into the Darkness (Xbox One)
- Hydro Thunder Hurricane (Xbox 360)
- Hyenas (Xbox Series X|S)
- Hyper Jam (Xbox One)
- Hyper Light Drifter (Xbox One)
- Hyper Scape (Xbox One)
- Hyper Void (Xbox One)
- HyperDot (Xbox One)
- Hyperdrive Massacre (Xbox One)
- Hypnospace Outlaw (Xbox One)