Play; a game or act of playing (can be used as a noun or with する).
子どもたちが公園で遊戯している。
The children are playing in the park.
この遊戯はルールが簡単で、小学生でも楽しめる。
This game has simple rules and even elementary school students can enjoy it.
ボードゲームの遊戯人口が近年増えている。
The number of people who play board games has increased in recent years.
この単語は書き言葉で使われることが多く、会話では「遊び」を使うことが多い。
This word is often used in writing; in conversation people more often say '遊び'.
A performance (dance or play) at kindergarten/elementary school — typically said as お遊戯.
来週、幼稚園でお遊戯会があるから衣装を準備してね。
There is a performance at the kindergarten next week, so please prepare the costume.
年長組はお遊戯で合唱とダンスを披露した。
The oldest class performed a song and dance at the children's show.
舞台での振り付けはお遊戯らしい可愛らしさがある。
The choreography on stage has the cute quality typical of children's performances.