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.
The Neottieae tribe consists of 3 genera. It is distributed throughout the world including Europe, tropical Africa, Sri Lanka, Southeast Asia, China, Japan, New Guinea, and Australia. In the Western Hemisphere, it is found in the western United States, Central America, and South America. They have fleshy, but slender roots, and thrive in temperate habitats.
Did you know there are more than 20,000 types of orchids in the world? That’s more than four times the number of mammal species! While most are found in tropical rainforests and grasslands in far off places, a fair amount are also native to the United States. A favorite in homes worldwide, the “Orchidaceae” family features blooms that are vibrant, tropical and fragrant.

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]
Check your water. For a long time, serious growers insisted that orchids could only be watered with rainwater. Nowadays, most people just use tap water, and this is fine. However, be aware that treated water may have higher salt content, and some water is high in calcium. If you see deposits forming on your plants, you should seek out a new water source.
Orchid flowers primitively had three stamens, but this situation is now limited to the genus Neuwiedia. Apostasia and the Cypripedioideae have two stamens, the central one being sterile and reduced to a staminode. All of the other orchids, the clade called Monandria, retain only the central stamen, the others being reduced to staminodes (4). The filaments of the stamens are always adnate (fused) to the style to form cylindrical structure called the gynostemium or column (2). In the primitive Apostasioideae, this fusion is only partial; in the Vanilloideae, it is more deep; in Orchidoideae and Epidendroideae, it is total. The stigma (9) is very asymmetrical, as all of its lobes are bent towards the centre of the flower and lie on the bottom of the column.
Masdevallia is one of my favorite types of orchids! They have triangular flowers (the petals are tiny, so you just see the three sepals.) They need cool temperatures to do well, and like a lot of humidity, but are otherwise quite easy to grow. (But they have a reputation as being hard to grow from people who've ignored their temperature and humidity requirements.)
The term "botanical orchid" loosely denotes those small-flowered, tropical orchids belonging to several genera that do not fit into the "florist" orchid category. A few of these genera contain enormous numbers of species. Some, such as Pleurothallis and Bulbophyllum, contain approximately 1700 and 2000 species, respectively, and are often extremely vegetatively diverse. The primary use of the term is among orchid hobbyists wishing to describe unusual species they grow, though it is also used to distinguish naturally occurring orchid species from horticulturally created hybrids.
It sounds like it is not getting enough light. Repotting once per year after blooms have dropped is a good thing. Use a high quality bark mix for orchids or high quality sphagnum moss. If the flower spike dried out you did exactly the right thing by removing it. So try more light without direct sun and be sure to water only if the mix is dry. No wet feet for most orchids. Good luck
Orchids of all types have also often been sought by collectors of both species and hybrids. Many hundreds of societies and clubs worldwide have been established. These can be small, local clubs, or larger, national organisations such as the American Orchid Society. Both serve to encourage cultivation and collection of orchids, but some go further by concentrating on conservation or research.
Horticultural techniques have been devised for germinating orchid seeds on an artificial nutrient medium, eliminating the requirement of the fungus for germination and greatly aiding the propagation of ornamental orchids. The usual medium for the sowing of orchids in artificial conditions is agar agar gel combined with a carbohydrate energy source. The carbohydrate source can be combinations of discrete sugars or can be derived from other sources such as banana, pineapple, peach, or even tomato puree or coconut water. After the preparation of the agar agar medium, it is poured into test tubes or jars which are then autoclaved (or cooked in a pressure cooker) to sterilize the medium. After cooking, the medium begins to gel as it cools.

Wikidata: Q25308 Wikispecies: Orchidaceae APNI: 54444 EoL: 8156 EPPO: 1ORCF FloraBase: 22787 FNA: 10638 FoAO2: Orchidaceae FoC: 10638 FoIO: orchidaceae Fossilworks: 55864 GBIF: 7689 GRIN: 798 iNaturalist: 47217 IPNI: 30000046-2 IRMNG: 114451 ITIS: 43397 NBN: NBNSYS0000160580 NCBI: 4747 NZOR: f0c1993e-e036-4074-bdae-936c9854ef2b POWO: Tropicos: 42000388 VASCAN: 181 VicFlora: 8b0d8fd4-1b56-449f-a2de-2b153e84399c Watson & Dallwitz: orchidac WoRMS: 414854

Speaking of cut Cymbidium flowers, my friend has several outdoor Cymbidium and the once-a-year flowering always brought her lots of joy and pride. It’s like an annual EXPLOSION of flowers that fills her whole back yard! Right before the prom, their teenage neighbor forgot to get his date some flowers, and for some reason, he thought it was okay to make a bouquet out of these Cymbidium flowers without any permission. She was so upset about the loss that the thoughtless boy had to make up the mistake by working in her garden for the rest of the year. The moral of the story? If you decide to steal someone’s orchids, you’d better not get caught! Learn more about Cymbidium orchids.
Check your water. For a long time, serious growers insisted that orchids could only be watered with rainwater. Nowadays, most people just use tap water, and this is fine. However, be aware that treated water may have higher salt content, and some water is high in calcium. If you see deposits forming on your plants, you should seek out a new water source. 

The Cypripedioideae subfamily is known for its lady slipper orchids, which are named after their slipper-shaped pouches that trap insects and help the flowers get pollinated. There are 5 genera in this subfamily: Cypripedium, Mexipedium, Paphiopedilum, Phragmipedium, and Selenipedium. Cypripedioideae orchids have two lateral, fertile anthers, which is unusual in most other orchids.