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Asking me what types of orchids there are is like asking me what types of people there are. Well, there are tall and short people, smart people and not-so-smart people, introverts and extroverts, people with different skin colors, and people from different parts of the world. Likewise, you will find many different types of orchids—different colors, species and hybrids, miniature and standard-sized, all different genera from different parts of the world. So I will narrow the question a bit, and look at it in terms of the orchids you will likely to buy and grow.

These orchids can be planted in orchid bark, moss or a mix (mixes might include bark, small rocks, moss, sponge rock, and even cork). Don’t even think about planting them in the soil. If your orchid is planted in bark you’ll need to water it more often than if it’s planted in moss. The bark will help the water drain with ease where the moss will hold the moisture longer. I prefer the bark or mixes which are predominantly bark because the watering is much easier for me to get right.

Orchids come in different sizes. I have a miniature phal in a 3-inch pot. This orchid needs watering more often than the larger ones in 6″ deep pots. An orchid in a larger pot will need watering less often, but will need more water quantity wise. The material of the pot will also make a difference. Those in plastic will dry out a bit slower than those planted in porous terra cotta.
The Lycaste orchid genus, similarly to its relative Anguloa, likes intermediate-to-bright light, intermediate-to-cool temperatures, and high humidity. The flowers look rather different, though; they are more-or-less triangular in shape because the sepals point outward while the petals point forward. These orchids are very fun to grow, and will thrive if you get their care right.
Some orchids mainly or totally rely on self-pollination, especially in colder regions where pollinators are particularly rare. The caudicles may dry up if the flower has not been visited by any pollinator, and the pollinia then fall directly on the stigma. Otherwise, the anther may rotate and then enter the stigma cavity of the flower (as in Holcoglossum amesianum).
Explore different types of orchids to learn if these graceful, exotic bloomers are plants you’d like to grow. Various orchid types hail from all kinds of diverse environs around the world. Some, like phalaenopsis orchids, are tropical beauties, while others, like cymbidium orchids, are native to cool mountainous regions. Some orchid species are hardy wildflowers, like the enchanting lady slipper orchids.  
Below are orchid species listed alphabetically, you can go from species to species by scrolling to the top or bottom of any page to find another alphabet bar such as this one below. All names are listed alphabetically including synonyms, so if you see your plant name without a link, there will be a reference there to procede to the name that is on this list with a link to the picture as well as cultural information for your species.
The den-phal type are warm growing year round and do, just by happenstance, bear flowers similar in appearance to the genus Phalaenopsis. They can be distinguished by plant habit (most Dendrobium have pseudobulbs that resemble tall canes) and flower shape. Den-phals have a spur at the back of the lip; some are more pronounced, others less. They are also borne on very strong upright to barely arching stems. Interesting to note, den-phals can rebloom on old canes.
Mist your orchid. Since orchids thrive in humidity, misting your orchid is a great way to keep it healthy, especially since it prevents the roots from drying out. Fill a spray bottle with water, then spritz the plant a few times a day. How often you mist the orchid depends on the environment where you live. Drier environments will require more misting, while damp climates may require misting daily.[4]

Because these orchids are top-heavy with lots of blooms on each stem, this type of orchid often requires staking. There are over 1,000 species in this category, and they usually come in colors such as white, lavender, or yellow. One of its biggest advantages is the fact that it can grow almost anywhere, regardless of the zone you live in, and some of them keep their leaves all year long. They can also come in more than one color per bloom, which makes them especially attractive.
Water thoroughly. When you do water, do it like you mean it. Different growers have different rules, but many professional growers turn on their sprinklers for 8 or more minutes. Successful home-growers sometimes dunk their plants, pots and all, into a bucket or sink of water. Some varieties, such as vandas, can be left floating in water for a surprisingly long time. The idea is to make sure the velamen is completely saturated. You want tiny droplets hanging on the roots after watering. This means the plant is completely hydrated.