1.
variety, diversity, range
A wide range or assortment of different types or kinds.
2.
variety show
A television program featuring a mix of comedy, talk, games, music, and other entertainment segments. Variety shows are a major genre of Japanese television.
Usage
Sense 1 lives mostly in two set phrases, バラエティに富む and バラエティ豊かな. Sense 2: バラエティ番組 is a staple of Japanese television. These shows feature comedians (芸人), celebrities (タレント), and other entertainers in comedy skits, talk segments, quizzes, and games. Often shortened to just バラエティ when the context is clear.
Writing
Also spelled バラエティー.