| Title | Players | Year | Publisher | Cart Size (KB) | Rating |
| Harlem Globetrotters | 2 | 1990 | GameTek | 256 | 2.2 |
Hatris  | 1 | 1991 | Bullet Proof Software | 128 | 7.3 |
| Heavy Barrel | 2 | 1990 | Data East | 256 | 8.4 |
| Heavy Shreddin' | 1 | 1989 | Parker Brothers | 256 | 6.8 |
| Hello Kitty World T | 2 | 2009 | 256 | none | |
| Hello Kitty World T | 2 | 1999 | 128 | 5.8 | |
| Hello Kitty's Flower Shop T | 1 | 2000 | 64 | 5.3 | |
| Higemaru: Seven Islands Adventure T | 1 | 2007 | 128 | 9.0 | |
| High Speed | 4 | 1991 | Tradewest | 256 | 8.9 |
| Hirake! Ponkikki T | 1 | 2005 | 64 | none | |
| Hogan's Alley | 1 | 1984 | Nintendo | 24 | 9.5 |
| Hollywood Squares | 2 | 1988 | GameTek | 256 | 7.8 |
| Holy Diver T | 1 | 2007 | 256 | 6.0 | |
| Home Alone | 1 | 1991 | THQ | 256 | 2.7 |
| Home Alone 2: Lost in New York | 1 | 1992 | THQ | 256 | 1.8 |
| Hook | 2 | 1991 | Sony Imagesoft | 256 | 5.0 |
| Hoops | 2 | 1989 | Jaleco | 256 | 5.6 |
| Hotman T | 1 | 1999 | 64 | 5.0 | |
| Hudson Hawk | 1 | 1991 | Sony Imagesoft | 256 | 6.8 |
| Hunt for Red October, The | 1 | 1990 | Hi Tech Expressions | 256 | 4.9 |
| Hydlide | 1 | 1989 | FCI | 40 | 3.5 |
