Non-photosynthetic: sun, chili (different kinds), Diodogongia nodulifera gorgonian, red or yellow, scleronephthya, dendronephthya. The last was impossible for me and many other people, sclero - almost, but survived (very beautiful). Both have very-very small polyps and, unless you are in Europe, very difficult to find food for.
Chili has larger polyps, defrozen mysis water and ZoPlan or even small particles of dried Cyclop-eeze will be accepted. Search for chili feeding for more food assortment.
Red (or yellow) finger gorgonian, Diodogorgia, some have very big polyps, much easier, Cyclop-eeze is the maximal size, ZoPlan and small particles of defrozen seafood are accepted.
All like high flow, frequent abundant feeding - you will fight with water quality, dropping very fast - properly set protein skimmer will help (see Calfo's overflow), along with fine filtration, or live on water changes - very tiresome and irritating. You know all of this by the sun coral. All the same, only different size of food, more frequent feeding, and not every polyp should be fed. One more thing - flow during feeding should be on, filtration - off.