(Can people provide) recommendations of poetry in crime, romance, science fiction, fantasy, horror... either by someone famous so (my student) can find it anywhere, or come with nice clicky on-line links.
My recommendations in dark fantasy/horror were City of Dreadful Night by James Thomson and Childe Roland to the Dark Tower Came by Robert Browning. Other good recommendations in the thread were Goblin Market by Christina Rossetti, The Raven by Edgar Allan Poe, and The Rime of the Ancient Mariner by Coleridge.
SF recommendations include ozarque's poems - some online here for instance. There's also A Martian sends a postcard home by Craig Raine and The First Men on Mercury by Edwin Morgan.
The best crime poems are probably by Browning, for instance The Laboratory and My Last Duchess. Browning also wrote a complete crime novel in poetry called The Ring and the Book, which is well worth a read.