This is the SACE Honour Roll, listing every award, merit or prize won by South Australian SACE students in 2004, along with their school and subject details.
The report also includes significant Australian national awards and prizes such as the Australian Student Prize.
| 479 | Hebenstreit, Nikki Elise Stirling | SA | Merit | Studies of Societies | |
| 480 | Heenan, Kimberley Anne | SA | Merit | Modern History | |
| 481 | Heenan, Kimberley Anne | SA | Merit | Physics | |
| 482 | Heenan, Kimberley Anne | SA | Merit | Specialist Mathematics | |
| 483 | Heenan, Kimberley Anne | Wilderness School | Medindie | Australian Student Prize | |
| 484 | Height, Kimberley | SA | Merit | English Studies | |
| 485 | Hendry, Nicole | SA | Merit | Psychology | |
| 486 | Herczeg, Yolanda Megan | SA | Merit | Musicianship | |
| 487 | Herde, Prue | SA | Merit | Studies of Societies | |
| 488 | Herve, Alexander Edward | SA | Merit | Mathematical Studies | |
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| 489 | Heuch, Fiona Jane | SA | Merit | English Studies | |
| 490 | Heuch, Fiona Jane | SA | Merit | Mathematical Studies | |
| 491 | Hill, Aaron Patrick | SA | Merit | Economics | |
| 492 | Hill, Michelle Kate | SA | Merit | Health Education | |
| 493 | Hill, Rebecca Natani | SA | Merit | Tourism | |
| 494 | Hillgrove, Kate Amelia | SA | Merit | Solo Performance | |
| 495 | Hillier, Alicia | SA | Merit | Design, Construction and the Community | |
| 496 | Hinze, Stewart William | SA | Merit | Agricultural and Horticultural Practice | |
| 497 | Hiscock-Croft, Benjamin David | SA | Merit | Chemistry | |
| 498 | Ho, Perona Pui Yui | SA | Merit | English as Second Language Studies | |
| 499 | Hodge, Stuart | SA | Merit | English Communications | |
| 500 | Hodgkin, Kylie Cherie | SA | Merit | Religions in Australia | |
| 501 | Hoffman, Simon John | SA | Merit | Mathematical Studies | |
| 502 | Hofmann-Thorpe, Ellin Rose | SA | Merit | Ensemble Performance | |
| 503 | Hollingsworth, Lucy | SA | Merit | Modern History | |
| 504 | Hooper, Chloe Debra | SA | Merit | Business Studies | |
| 505 | Hopper, Nicole Maree | SA | Merit | Chemistry | |
| 506 | Hopper, Nicole Maree | SA | Merit | English Studies | |
| 507 | Hopper, Nicole Maree | SA | Merit | Physics | |
| 508 | Horsley, Samuel Kane | SA | Merit | Technology and the Community | |
| 509 | Horstmann, Alex John | SA | Merit | Geography Studies | |
| 510 | Horstmann, Alex John | SA | Merit | Physics | |
| 511 | Howlett, Georgina Anne | SA | Merit | English Communications | |
| 512 | Howley, Sarah Catherine | SA | Merit | Physical Education | |
| 513 | Hruby, Jessica | SA | Merit | Physical Education | |
| 514 | Huang, Xu | SA | Merit | Information Technology B | |
| 515 | Hueppauff, Sarah Gill | SA | Merit | Music Individual Study | |
| 516 | Hughes, Joanne Beryl | SA | Merit | The Arts and the Community | |
| 517 | Hughes, Olwyne Margaret | SA | Merit | The Arts and the Community | |
| 518 | Hughes, Tamara Louise | SA | Merit | English Studies | |
| 519 | Hughes, Vanessa Siobhan | SA | Merit | Chemistry | |
| 520 | Hughes, Vanessa Siobhan | SA | Merit | English Studies | |
| 521 | Hughes, Vanessa Siobhan | SA | Merit | Mathematical Studies | |
| 522 | Hughes, Vanessa Siobhan | SA | Merit | Physics | |
| 523 | Hughes, Vanessa Siobhan | SA | Merit | Specialist Mathematics | |
| 524 | Hughes, Vanessa Siobhan | Pembroke School | Kensington Park | Australian Student Prize | |
| 525 | Hulin, Julie-Ann | SA | Merit | Psychology | |
| 526 | Humphrys, Simone Gabrielle | SA | Merit | Small Business Enterprise | |
| 527 | Hundhammer, Anne Marie | SA | Merit | German (Continuers) | |
| 528 | Hunt, Gloria Anne | SA | Merit | Language and the Community | |