Epiphyllum
"Orchid Cacti" or "Epicactus"
Epiphytic (tree-growing) cacti. These plants, with green, strap-like leaves, produce large (up to 30cm or 12 inch) flowers. They are ideally suited to window-sill conditions. They do well indoors during the winter in cooler climes, and absolutely thrive outside when weather is warm enough.
CULTIVATION Fairly bright, filtered light. Must have bright light for blooms. Min. 40F (5deg.C) in winter. Water once a week in summer, less in winter. Rainwater is best. They prefer to be on the dry side. Feed high potash (Tomato fertiliser 2-10-10) Feb to April for blooms, then balanced feed (8-8-8) July to October. November to January no feed
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Chiapasia nelsonii hybrids
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Seedlings, as yet unflowered. ex 7cm pots

Epiphyllum Waikiki Rainbow
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Larger picture 
Large flowers
Bell-shaped blooms of fuchsia inner petals and long orange-red sepals. Full double blooms, eye-catching!
Raised by Harry Johnson, Johnson's Cactus Garden.  Free flowering.

Epiphyllum Coral Caress
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Flowers ruffled, bell-shaped, soft coral pink throughout. Large (8") California Epi Centre 1981

Epiphyllum Cornish Cream
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Large yellow blooms

Epiphyllum crenatum
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Strongly perfumed flowers that are creamy-white to greenish-yellow, expanding from 12 to 15 centimeters (5 to 6 inches) wide, opening at night, and flowering for many days. This is a very popular, and well-known species. It has been used in cross pollination with many other genera to produce countless fine hybrids.

(Photo by Ulf Eliasson)

Epiphyllum crenatum v. kimnachii
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cooperi_TN

Old name Epiphyllum cooperi

Sometimes called "Queen of the night" although this name should really be used for Selenicereus grandiflorus
A night-flowering species with large white, strongly scented flowers

Epiphyllum Fernegeissler
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Epiphyllum First Prom
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Cup and saucer of orchid to purple. Large (Johanna Attanhofer X Professor Ebert) Hurst Nursery

Epiphyllum Front Runner
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1978 Golden orange with fuchsia edges. Open funnel form. (King Midas x Spanish Gold)
Size: Large

Epiphyllum Gold Cup
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Epiphyllum Holly Wells
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Peach-pink

Epiphyllum Irette
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Unusual spidery-looking flower of orange and violet. Medium-large (Tom D. Harmon)

Epiphyllum King Midas
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Larger picture 
Shades of golden orange, flowers are large and cup-shaped

Epiphyllum Lilactime
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A vivid, bluish-violet colour, shading to a lighter centre. Extra large (9 1/2") TMM 1943 Theresa M. Monmomier - Ventura Epiphyllum Gardens

Epiphyllum London Moonlight
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Cream petals, orange sepals

Epiphyllum London Pearl
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Creamy white

Epiphyllum Monastery Garden
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Combination of pink, rose and yellow. Wide open, extra large (9 to 14") bloom. (Pegasus X Annie P. Williams - Fort and O'Barr 1952) Slightly scented

Epiphyllum oxypetalum
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Very large white and fragrant flowers with oblong petals and amber sepals. Blooms profusely at night.

Epiphyllum Pegasus
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 Absolutely beautiful. Broad petals with an orange red stripe surrounded by purple, lightening towards the edges. Gorgeous, easy to grow.  (XL)

Epiphyllum Persus
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Sorry no details. New to us.