One of the best things about learning to dance is the fact that there are so many style and types of dancing that you can learn. Depending on what you want to do, you can focus on learning one style and becoming an expert in all of its steps and variations, or you can experiment with many styles, even combining them to create your own unique style of dance.
Ballet
Ballet is one of the most famous types of dancing around the world. Learning ballet can be extremely difficult, as it requires perfection of complex steps and maneuvers as well as great athleticism and flexibility.
Swing Dancing
Swing dancing first became popular in the early 1900s and is a type of dance usually performed with a partner. It involves quick and fast moves as well as spinning, swinging, and jumping.
Hip Hop Dancing
Hip Hop dancing is a modern type of dance that you can see in many movies and music videos. There are dozens if not hundreds of styles of hip hop dancing, all with different levels of difficulty.
Jazz Dancing
Jazz dancing is a style that has fewer rules and conventions. Expression and creativity are most important, and jazz dancing can look very different from place to place and person to person.
Belly Dancing
Originally created in the Middle East, belly dancing has taken on many different forms as it’s crossed the world. It is typically a very provocative dance that relies on smooth and rapid movements of the hips.
Modern Dance
Modern dance takes the fluidity and beautiful movements of ballet, but removes many of the rules and conventions. It is a free form of dance that places importance on originality and freedom of expression.
Sources: http://dance.about.com/od/typesofdance/tp/Dance_Types.htm