| Haō Taikei Ryū Knight | April 22, 1994 | — | 52 |
| He Is My Master | April 8, 2005 | — | 12 |
| Headhunted to Another World | January 6, 2025 | — | 12 |
| Healer Girl | April 4, 2022 | — | 12 |
| Healin' Good Pretty Cure | February 2, 2020 | — | 45 |
| HeartCatch PreCure! | February 7, 2010 | — | 49 |
| Heat Guy J | October 1, 2002 | — | 25 |
| Heaven's Design Team | January 7, 2021 | — | 12 |
| Heaven's Lost Property | October 4, 2009 | — | 13 |
| Heaven's Lost Property: Forte | October 1, 2010 | — | 12 |
| Heaven's Memo Pad | July 2, 2011 | — | 12 |
| Heavenly Delusion | April 1, 2023 | Tokyo MX | 13 |
| Heavily Armed High School Girls | 2027 | — | — |
| Heavy Metal L-Gaim | February 4, 1984 | — | 54 |
| Heavy Object | October 2, 2015 | — | 24 |
| Heidi, Girl of the Alps | January 6, 1974 | Fuji Television | 52 |
| Heir to a Monstermancer | — | — | — |
| Heisei Inu Monogatari Bow | October 14, 1993 | — | 40 |
| Heisei Tensai Bakabon | January 6, 1990 | Fuji Television | 46 |
| Helck | July 12, 2023 | — | 24 |
| Hell Girl | October 4, 2005 | MBS | 90 |
| Hell Mode | January 10, 2026 | — | 25 |
| Hell's Paradise | April 1, 2023 | — | 13 |
| Hello Kitty Apple Forest Series | April 4, 2000 | — | — |
| Hello Kitty: The Apple Forest and the Parallel Town | — | — | 27 |
| Hello Kitty: The Fantasy of the Apple Forest | — | — | 13 |
| Hello Kitty: The Mystery of the Apple Forest | — | — | 13 |
| Hello! Lady Lynn | May 12, 1988 | — | 36 |
| Hello! Sandybell | March 6, 1981 | TV Asahi | 47 |
| Hello, I am a Witch, and My Crush Wants Me to Make a Love Potion! | October 5, 2026 | — | — |
| Hellsing | October 10, 2001 | Fuji Television | 13 |
| Hen Semi | April 3, 2011 | — | 13 |
| Hensuki | July 8, 2019 | — | 12 |
| Here U Are | — | — | — |
| Hero Bank | April 7, 2014 | TV Tokyo | 51 |
| Hero Tales | October 7, 2007 | — | 26 |
| Hero Without a Class | October 1, 2025 | — | 12 |
| Heroes: Legend of the Battle Disks | November 23, 2015 | — | 26 |
| Heroic Age | April 1, 2007 | TV Tokyo | 26 |
| Heroine? Saint? No, I'm an All-Works Maid (and Proud of It)! | July 1, 2026 | — | 12 |
| Heroines Run the Show | April 7, 2022 | Tokyo MX | 12 |
| Heroman | April 1, 2010 | — | 26 |
| Hetalia: Axis Powers | — | — | 52 |
| Hey, Your Cat Ears Are Showing! | October 3, 2018 | — | 24 |
| Heybot! | September 18, 2016 | — | — |
| Hi Score Girl | 2018 | Netflix | — |
| Hiatari Ryōkō! | March 22, 1987 | Fuji Television | 48 |
| Hidamari no Ki | April 4, 2000 | — | — |
| Hidamari Sketch | January 12, 2007 | — | 49 |
| Higehiro | April 5, 2021 | — | 13 |
| Higepiyo | April 3, 2009 | NHK Educational TV | 39 |
| High Card | January 9, 2023 | — | 12 |
| High School DxD | January 6, 2012 | — | — |
| High School Fleet | April 9, 2016 | Tokyo MX | 12 |
| High School Girls | April 3, 2006 | — | 12 |
| High School Mystery: Gakuen Nanafushigi | April 12, 1991 | — | 41 |
| High School Prodigies Have It Easy Even In Another World | October 3, 2019 | — | 12 |
| High School! Kimengumi | October 12, 1985 | — | 86 |
| High School! Kimengumi | January 9, 2026 | — | 12 |
| Highschool of the Dead | July 5, 2010 | — | 12 |