Well within the Ballroom arena there would be the Waltz, Foxtrot and a form of swing. The Latin dances include the Cha-Cha, Tango, Samba and Rumba while the Country dances have the Country Two Step, and Three Step. There are also several forms of these dances. Since I don't compete and don't do International style of dancing and since this site is dedicated to social dancing that is exactly what I will be dealing with. And here I make the distinction between social and competition.
Social dancing is just that.
Out with a date or a group of people just dancing for pure enjoyment of dancing with no worry about what a judge may think or worrying about what happens if you make a mistake.