I'm not so interested in dancing or singing, so I'm not sure, but maybe performance, freestyle, tempo, beat, bass, can be used also in Japanese, in katakana:「パフォーマンス」「フリースタイル」「テンポ」「ビート」「バス」 Choreography is furitsuke「ふりつけ」in Japanese. As for "dance showcase" and "cypher", I can't help you. Please wait for someone who like dancing to find your question and answer them.