Dance Games on PS3: Dance Central Absent, But Just Dance and DDR Available

You're likely thinking of Dance Central—but it's Xbox-only (360/One via Kinect). No PS3 version exists.

Great Dance Games on PS3

• Just Dance Series (1–2014, 2015–2018 on PS3): Ubisoft's flagship; uses PlayStation Move or smartphone app for tracking. Huge song libraries.
• Dance Dance Revolution (DDR): Konami's classic arrow-mat series. PS3 has DDR X, DDR X2, DDR X3 vs 2ndMIX. Requires dance pad.
• Everybody Dance: Sony's Move-based dance game (SingStar team).
• Michael Jackson: The Experience: Move-based, MJ choreography.

For PS3 dancing, Just Dance (Move/phone) or DDR (pad) are your best bets!