There are a lot of pendulous growing orchids. Many Dendrobiums are actually pendulous growers. Several orchids in the Vanda alliance are pendulous growers as well (except Vandas, they naturally grow upright). All Dichaeas are pendulous growing. A couple Maxillarias are as well. Some Disas grow upside down too. Encyclia citrina grows downwards. Masdevallia caesia does too. Vanillas are vines and don't care about the orientation of the plant itself as long as the leaves face the sun or light source. Leafless orchids such as Chiloschista, Taeniophyllum, Dendrophylax, and Polyrhizza don't care about orientation as long as the surface of the roots are exposed to a light source. As you can see, there're tons, you just have to know which ones they are.
However, like cloudswinger had mentioned, the plants that grow upright, when they're grown pendulous will re-orient themselves to their natural growth orientation.
Do also take into consideration that plants like Draculas, Stanhopeas, Acinetas, Paphinias, Gongoras, Peristerias, Cirrhaeas, and Sievekingias may have vegetation that grow upright, but they have pendulous spikes. Many of these plants are grown in baskets and hung from a high vantage point to view the flowers.