Everyone loves the RicRack orchid cactus, Epiphyllum anguliger. This one, as you can see, has deeply serrated trailing stems. It has sweetly scented white or cream colored flowers in summer or fall, though mine has yet to bloom. A warm and shady place makes these happy, no cooler than 43 degrees. Mine is in a south facing window in the winter, but only gets morning sun.
Another non-bloomer (at least so far) is the Selenicereus pteranthus. This will have white flowers also when it finally gets around to it. This one is not quite as showy as the previous 2 (or the one to follow) sort of reminding me of a dinosaur or some sort of prehistoric plant, rambling at odd angles. This one is a bit spiny, unlike the previous ones. This one has 3 sided, fleshy stems. It likes shade and can be grown as a hanging basket plant or as a sort of upright rambler.
Now one of my favorites and one that was just covered with blooms last summer; I think I counted 23 or them at one time. This is Ephyllum ackermannii. These get rather huge for a potted plant. I keep mine trimmed to no more than 6 feet long since they have to live in the house in the winter and I have to carry them in and out. Even 6 feet has me tripping over the ends of the stems sometimes. The red/orange flowers on these are really big and showy - probably 6 inches across easily. In the wild, they grow in the tree canopy of tropical jungles from Mexico to northern South America. The flowers last a couple of days, longer in cooler weather. Regular feeding and warm shade will keep them happy. Minimum temperature is 41 degrees.