- Hacker – Steve Cartwright, Activision 1985
- Hacker II – Steve Cartwright, Activision 1987
- Halls of the Things – Crystal Computing 1983
- Hammerfist – Vivid Image, Activision 1990
- Hampstead – Lever & Jones, Melbourne House 1984 – text
- Hangman – Penny Vickers, Sinclair 1982 – 16k
- Hard Drivin’ – Binary Design, Domark 1989 – 3d, race
- HardBall – Sean Pearce, Advance 1986 – sport
- Harrier Attack – Mike Richardson, Durell 1983 – 16k
- Harvesting Moon, A – 8th Day 1985 – text
- Harvey Headbanger – Probe, Firebird 1986
- H.A.T.E. – Vortex, Gremlin 1989 – isometric
- Haunted Hedges – Derek Brewster, Micromega 1983 – pacman, 16k
- Haunted House – Jonathan Cauldwell, Your Sinclair 1992
- Head over Heels – Ocean 1987 – isometric
- Heartbroken – Shaw Brothers, Atlantis 1989
- Heartland – Odin 1986
- Heavy on the Magick – Gargoyle 1986
- Hellfire – Melbourne House 1985
- Helter Skelter – Audiogenic 1991 – platform
- Henry’s Hoard – Alternative Software 1985 – platform
- Herbert’s Dummy Run – David Perry, Mikro-Gen 1985 – Wally Week
- H.E.R.O. – Software Conversions, Activision 1984
- Hero Quest – Games Workshop, Gremlin 1991
- Heroes of Karn – Interceptor 1984 – text
- Hexagonal Filler – Alone Coder 2004 – puzzle
- High Frontier – Software Studios, Activision 1987 – strategy
- High Noon – Work Force 1983 – 16k
- High Steel – Intelligent Design, Screen 7 1989
- Highway Encounter – Costa Panayi, Vortex 1985 – isometric
- Hijack – Paradise, Electric Dreams 1986
- Hive – Torus, Firebird 1986 – 3d
- Hobbit, The – Melbourne House 1982 – text
- Hobgoblin – Pantheon, Atlantis 1991
- Hong Kong Phooey – PAL, Hi-Tec 1990
- Hopping Mad – Elite 1988
- Horace & the Spiders – William Tang, Sinclair 1983 – 16k, Horace
- Horace Goes Skiing – William Tang, Sinclair 1982 – 16k, Horace
- Horace in the Mystic Woods – Bob Smith 2010 – platform, Horace
- Hostages – New Frontier, Infogrames 1990
- Hot Shot – Maxwell Technology, Addictive Games 1988
- Hot-Rod – Walking Circles, Activision 1990 – race
- How to be a Complete Bastard – Sentient, Virgin Games 1987
- Hudson Hawk – Special FX, Ocean 1991
- Hulk, The – Scott Adams, Adventure International 1984 – text, Questprobe
- Human Torch and the Thing – Adventure International 1986 – text, Questprobe
- Humphrey ES – Made in Spain, Zigurat 1988
- Humpty Dumpty in the Garden – Nigel Johnstone, Artic 1984
- Hunchback – Christian Urquhart, Ocean 1984 – platform
- Hunchback – The Adventure – Ocean 1986 – text
- Hunchback II – Ocean 1984 – platform
- Hundra – Zeus Software, Dinamic 1988
- Hungry Horace – William Tang, Sinclair 1982 – pacman, 16k, Horace
- Hunt for Red October – Oxford Digital, Grandslam 1988 – simulation
- Hydrofool – FTL 1987 – isometric
- Hypaball – Bernie Dugggs, Odin 1986
- Hyper Active – Special FX, Sinclair User 1988 – shooter
- Hyper Sports – Jonathan Smith, Imagine 1985 – sport
- Hyperaction – Silversoft 1984
- Hyperbowl – Binary Design, Mastertronic 1986
- Hypsys – Techno Arts, Dro Soft 1989
- Hysteria – Special FX, Software Projects 1987
- Operation Hormuz
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