H… Hm… I think my favorite H word is “hohlraum”, not sure if you could find an illustration though.

You definitively have to have “hieroglyph”, maybe “hangul” but illustration could be a challenge, there are some interesting illustrations of “hyperborea”. “Hierophant”, “Henry VIII”, “Hansel and Gretel”, “Hans Christian Andersen”… a lot of animals and plants like “horse”, “hippopotamus”, “hedgehog”, “hen”… “hyacinth”, “hemlock”, “hemp”… “helicopter”, “hovercraft”, “hyperbaric chamber”… “Hans Christian Joachim Gram”, “Alexander von Humboldt”, “Jürgen Habermas”, “Grace Hopper”, “Henrietta Swan Leavit”. This one might be a bit grim to illustrate: “Henrietta Lacks”. “Hodgepodge”, “Helen of Troy”, “Himalayas”, “hot porridge”, “Hyperion”.

A lot to choose from 😄