The Archaea domain can be sub-divided into five recognized phyla - Crenarchaeota, Euryarchaeota, Korarchaeota, Nanoarchaeota, and Thaumarchaeota. However, the classification of Archaea into phyla such is a contentious field. So too, is their classification into species.
Here are some examples of Archaea and the sorts of environments that they thrive in: -

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Thermophiles - these are heat-loving organisms that live and grow in extremely hot temperatures that will kill other kinds of organisms - between 45 and 80 degrees Celsius. The sorts of habitats where they can be found include hydrothermal vents and hot springs such as those in Yellowstone National Park. Strain 121 holds the record for the most heat tolerant microorganism. It was discovered in 2003 when it was extracted from super hot water gushing out of hot springs at the bottom of the Pacific Ocean. It is a single-celled organism that lives and reproduces in temperatures of 121 degrees Celsius - hence its name. And it is the only known life form able to survive such extreme heat.
Methanogens - these are anaerobic methane producers that can be found in wetlands and the guts of animals. Some are extremophiles and can be found in hydrothermal vents on the ocean floor and in hot springs.
Halophiles - these thrive in high salt concentrations such as the Dead Sea and the Great Salt Lake in Utah. The salinity can be up to ten times that of ordinary sea water. The first Halophile to have its genome sequenced was NRC-1 in 2000.