Hexen: Beyond Heretic is a dark fantasy first-person shooter video game developed by Raven Software and published by id Software through GT Interactive Software on October 30, 1995. It is the sequel to 1994's Heretic, and the second game in Raven Software's "Serpent Riders" series. The title comes from the German noun Hexen, which means "witches", and/or the verb hexen, which means "to cast a spell". Game producer John Romero stated that a third game in this series which was never released was to be called Hecatomb.

Hi-Octane is a racing and vehicular combat video game released in 1995 for the PC, PlayStation and Sega Saturn, developed by Bullfrog, and based upon their earlier Magic Carpet game code.It is notable amongst racing games for its wide and open tracks, and the resulting freedom offered to the player, and also for its excessive speed. It suffered in the marketplace due to thematic similarities with the better received Wipeout by Psygnosis and the generality of its graphics engine made for a very short depth of view compared to contemporary racing games.Hi-Octane is rumored to begin life as something several Bullfrog programmers coded in free time, and then decided to improve the game and market it under the auspices of Electronic Arts. Developer Peter Molyneux stated that EA set Bullfrog under pressure to release Dungeon Keeper, but they weren't able to do so within their deadlines. In order to relieve some of the pressure, they quickly developed Hi Octane.In a Gamasutra article it was mentioned that "PC and Saturn racing game Hi-Octane, was developed in just eight weeks using the Magic Carpet engine, as a way to "fill a quarter that didn't have enough revenue".

Hidden & Dangerous is a 1999 World War II computer and video game developed by Illusion Softworks and published by Take-Two Interactive and TalonSoft for Windows, the Dreamcast, and the PlayStation. The PlayStation port of the game was developed by Tarantula Studios. It is regarded as one of the pioneering tactical first/third person shooters.Hidden & Dangerous was voted the 4th best video game developed in the Czech Republic and Slovakia in a Survey by Czech server BonusWeb.

Hogs of War is a turn-based tactics video game developed by Infogrames Sheffield House and published by Infogrames, released for the PlayStation in 2000 for Europe on June 6 and North America on September 29, and later for Microsoft Windows in Europe only on November 3, 2000. The game is set in a First World War-era where anthropomorphic pigs engage in combat. Play proceeds in a turn-based fashion, with 3D graphics, vehicles, a career-based single-player mode, and voice-over work (both narration and for characters) by British comedian Rik Mayall.The tune for the game is John Philip Sousa's Liberty Bell March. The design of the game is discussed in the book The Game Maker's Apprentice, which is co-authored by the lead programmer of the game and has a foreword by one of the game's designers.

Hooters Road Trip is a racing video game for PC and PlayStation platforms released in 2002. It was produced by Hoplite Research, a company founded by former playtester Manny Granillo. It is built around the license of the Hooters restaurant chain, featuring both real life and computer-generated images and video footage of its iconic "Hooters Girl" waitresses.

Hoshigami: Ruining Blue Earth (Hoshigami ～沈みゆく蒼き大地～ Hoshigami: Shizumiyuku Aoki Daichi) is a tactical role-playing game (RPG) developed by MaxFive and published by Atlus in 2001. The game was never released in Europe or Australia. The game was remade as Hoshigami Remix for the Nintendo DS in 2007 by Arc System Works.

Hot Wheels: Extreme Racing is a racing game for the PlayStation, released in 2001. It features vehicles based on the Hot Wheels series of toys.

There are several Hugo video games based on early episodes of ITE's television show Hugo and are a part of the international Hugo franchise. From 1992 to 2000, ITE developed and released versions for Amiga, Commodore 64 and PC, as well as the and PlayStation consoles, exclusively for European markets. Since 2011, Krea Media / Hugo Games published a series of mobile game remakes for Android. An online slot machine adaptation was also released in 2016.The games closely resemble the early editions of the TV show they have been adapted from; in almost all of them, the player guides the titular protagonist (a small, friendly troll named Hugo) to save his wife and children from the evil witch Scylla. To rescue his family, Hugo must navigate safely through dangerous environments in various minigame scenarios.

Hybrid is a downloadable third-person shooter video game released on August 8, 2012 for the Xbox 360 through Xbox Live Arcade. It was developed by Bellevue, Washington-based 5th Cell. Utilizing the Source game engine from Valve Corporation, this is the first Xbox 360 title from developer 5th Cell.

IHRA Drag Racing is a series of racing video games published by Bethesda Softworks, and developed in collaboration with the International Hot Rod Association (IHRA).

In the Hunt (海底大戦争 Kaitei Daisensou) is a horizontal scrolling shooter arcade game by Irem. It was released in 1993 and later published to the Sega Saturn, the PlayStation and Windows 95 for the PC by Kokopeli. A Super NES version was in development, with a playable version appearing at a Consumer Electronics Show, but it was never completed. The player takes the role of a submarine in underwater environments. There are a total of six levels in the game.The game was developed by the team who would go on to create GunForce 2 for Irem and the Metal Slug series for SNK.