| Harry & Bunnie | May 20, 2016 | Disney Channel Asia | 78 |
| Harry and Toto | — | CBeebies | 26 |
| Harvey Beaks | March 28, 2015 | Nickelodeon | 52 |
| Harvey Birdman, Attorney at Law | December 30, 2000 | Adult Swim | 39 |
| Have a Laugh! | October 26, 2009 | Disney Channel | 55 |
| Hazbin Hotel | January 19, 2024 | — | 16 |
| HBO Storybook Musicals | November 18, 1987 | HBO | 18 |
| He-Man and the Masters of the Universe | September 5, 1983 | Broadcast syndication | 130 |
| He-Man and the Masters of the Universe | August 16, 2002 | Cartoon Network | 39 |
| He-Man and the Masters of the Universe | September 16, 2021 | Netflix | 26 |
| Head In The Snowflakes | — | — | 26 |
| Headspace Guide to Sleep | April 28, 2021 | Netflix | — |
| Heathcliff | 1984 | Fox Kids, France 3 | 86 |
| Heathcliff | October 4, 1980 | American Broadcasting Company | 26 |
| Heathcliff and Dingbat | — | American Broadcasting Company | — |
| Heaven Official's Blessing (Donghua) | October 31, 2020 | Netflix, Bilibili | 11 |
| Heavies tendres | February 4, 2018 | 33 | 8 |
| Heavy Gear: The Animated Series | 2001 | — | — |
| Heidi | April 6, 2015 | Télévision Suisse Romande, TF1, Auvio Kids TV | 39 |
| Hell Den | — | Syfy | 12 |
| Hellerudsvingen | October 17, 2024 | NRK TV | 10 |
| Hello Kitty's Furry Tale Theater | 1987 | CBS, Cartoon Network, Qatar TV | 26 |
| Hello Kitty: Super Style! | December 7, 2022 | — | 52 |
| Hello Ninja | 2019 | Netflix | 20 |
| Hello! Pawmily | — | — | — |
| Help!... It's the Hair Bear Bunch! | September 11, 1971 | CBS | 16 |
| Henry Hugglemonster | February 8, 2013 | Disney Jr. | 49 |
| Henry's World | August 24, 2002 | Family Channel | 26 |
| Hercules | August 31, 1998 | American Broadcasting Company | 65 |
| Here Comes the Grump | 1969 | NBC | 17 |
| Hergé's Adventures of Tintin | 1957 | AVRO | 102 |
| Hero Circle | — | EBS 1TV | — |
| Hero Elementary | June 1, 2020 | PBS Kids | — |
| Hero Factory | September 20, 2010 | Cartoon Network | 11 |
| Hero Inside | November 3, 2023 | Tooniverse, Cartoon Network, Cartoon Network | 20 |
| Hero: 108 | March 1, 2010 | Cartoon Network | 52 |
| Heroes of Dynasties | — | MBC TV | 51 |
| Heroes of Envell | — | — | 14 |
| Heroes of the City | June 1, 2012 | — | 52 |
| Heroes on Hot Wheels | 1990 | Canal J | 65 |
| Hey A.J.! | January 13, 2026 | Disney Jr. | 16 |
| Hey Arnold! | September 9, 1996 | Nickelodeon, RTL, Nickelodeon | 100 |
| Hey Duggee | December 17, 2014 | CBeebies | 137 |
| Hey Joel | June 3, 2003 | VH1 USA | 13 |
| Hey Monie! | March 4, 2003 | Oxygen | 25 |
| Hey Yo Yorang | July 23, 2003 | KBS 2TV | 26 |
| Hi Hi Puffy AmiYumi | November 19, 2004 | Cartoon Network | 39 |
| Higglytown Heroes | September 13, 2004 | Playhouse Disney | 65 |
| High Guardian Spice | October 26, 2021 | Crunchyroll | — |
| High School USA! | July 21, 2013 | Fox Broadcasting Company | 12 |
| Highlander: The Animated Series | September 18, 1994 | USA Network | 40 |
| Hilda | September 21, 2018 | Netflix | 34 |
| Hilltop Hospital | 1999 | ITV | 52 |
| Hip-Hip and Hurra | — | Kino Polska | — |
| Hipshushiot | December 2003 | Music 24 | 20 |
| Histeria! | September 14, 1998 | Kids' WB, Qubo | 52 |
| Hit Racer | — | SBS TV | 13 |
| Hit-Monkey | 2021 | Hulu | 20 |
| Hitori No Shita - The Outcast | — | — | — |
| Hokey Wolf | September 11, 1960 | Broadcast syndication | 28 |