| Medal video game |  Hara Show | 2004 | Sung Ho Korea |
| PC/MS-Windows CD | Hard Love | 2004 | DO Corp. Japan |
| Nintendo GBA cart. | Hardcore Pool Model AGB-BHOP-EUR | 2004 | WPB Soft., Ltd. |
| PC/MS-Windows CD | Harry Potter and the Prisoner of Azkaban | 2004 | Electronic Arts CA, USA 14633 |
| Nintendo GBA cart. | Harry Potter and the Prisoner of Azkaban Model AGB-BHTE-USA | 2004 | EA Games Electronic Arts, Inc. |
| Nintendo GBA cart. | Harry Potter and the Prisoner of Azkaban Model AGB-BHTP | 2004 | EA Games Electronic Arts, Inc. |
| Nintendo GameCube disc | Harry Potter and the Prisoner of Azkaban Model DOL-GAZE-USA | 2004 | Electronic Arts CA, USA 14633 |
| Nintendo GameCube disc | Harry Potter to Azkaban no Shuujin | 2004 | Electronic Arts CA, USA 14633 |
| Nintendo GBA cart. |  Harry Potter to Azkaban no Shuujin Model AGB-BHTJ-JPN | 2004 | EA Games Electronic Arts, Inc. |
| Nintendo GameCube disc | Harvest Moon - A Wonderful Life Model DOL-GYWE-USA | 2004 | Natsume, Inc. Japan |
| Nintendo GameCube disc | Harvest Moon - A Wonderful Life Model DOL-GYWP-UKV | 2004 | Ubisoft Ent. Montreuil sous Bois, France |
| Pachinko | Hashire Kotaro | 2004 | Daiichi Denshi |
| Slot Machine | Heart Attack Poker | 2004 | IGT International Game Technologies Reno, NV, USA |
| Video Slot Machine | Heart of Gold | 2004 | Aristocrat Leisure Industries Pty, Ltd. |
| Slot Machine | Heat Market | 2004 | IGT International Game Technologies Reno, NV, USA |
| Slot Machine | Heated Exchange | 2004 | IGT International Game Technologies Reno, NV, USA |
| IBM PC/AT DOS pack. | Heli-Jeep Sw | 2004 | PLBM Games |
| IBM PC/AT DOS pack. | Hellbent - An ASCII RPG | 2004 | Nukem Enterprises |
| Sony PlayStation CD | Hellboy - Asylum Seeker Model SLUS-01414 | 2004 | DreamCatcher Interactive |
| Pachislot | Hello Santa - Gun Machine | 2004 | Taiyo Co., Ltd. Japan |
| Pachislot | Hello Santa Tonakai | 2004 | Taiyo Co., Ltd. Japan |
| Nintendo GBA cart. | Hello! Idol Debut - Kids Idol Ikusei Game Model AGB-BHDJ-JPN | 2004 | TDK Core |
| Slot Machine | Hexa Bingo | 2004 | Cadillac Jack Duluth, GA, USA |
| Arcade Video game | Hi Pai Paradise 2 - Onsen ni Ikou Yo! | 2004 | Aruze Corp. Japan |
| Fruit Machine | Hi-Lo Karate | 2004 | Vivid Gaming England |
| PC/MS-Windows CD | Hidden & Dangerous 2 - Sabre Squadron | 2004 | Gathering of Developers, Inc. |
| Slot Machine | Hidden Assets | 2004 | IGT International Game Technologies Reno, NV, USA |
| Arcade Video game | Hidden Catch EX3 | 2004 | Gameload |
| Slot Machine | High Honour | 2004 | Aruze Corp. Japan |
| Slot Machine | High Voltage Bonus | 2004 | Multimedia Games, Inc. Austin, TX, USA |
| Slot Machine | Highway 777 | 2004 | Konami Corp. Japan |
| Slot Machine | Highway Kings | 2004 | Videobet Estonia |
| PC/MS-Windows CD | Higurashi no Naku Koro ni - Himatsubushi-hen | 2004 | 07th Expansion |
| PC/MS-Windows CD | Higurashi no Naku Koro ni - Meakashi-hen | 2004 | 07th Expansion |
| Nintendo GBA cart. | Himawari Doubutsu Byouin - Pet no Oishasan Ikusei Game Model AGB-BNBJ-JPN | 2004 | TDK Core |
| PC/MS-Windows CD | Hitman - Contracts | 2004 | Eidos Interactive |
| Slot Machine | Holey Smokes | 2004 | IGT International Game Technologies Reno, NV, USA |
| Slot Machine | Hollywood Squares - Center Star Wild | 2004 | WMS Gaming, Inc. Chicago, IL, USA |
| Slot Machine | Holmes | 2004 | Subsino Co., Ltd. |
| Fruit Machine | Honey Money | 2004 | Vivid Gaming England |
