Lion Dance and the Dragon Dance are pretty much traditional chinese, not some daily activities, and no regular show every day. Chinese people only play those games on some traditional festivals, such as Spring festival. But another traditional festival, dragon boat festival, is coming, and it is June 16th. On that day, people will take dragon boat race on some rivers, and maybe there are some Lion Dance and Dragon Dance to be showed in some public plaza. Some place I know about dragon boat race is TongHui river, it is on the east of Beijing.
Peking Opera is commercial show, you can watch it in some commercial theater most times, such as ChangAn Theater, MeiLanFang Theater.