Link's Awakening (Cagiva)
In the Link's Awakening manga by Ataru Cagiva, after defeating Moldorm inside Tail Cave, Link finds the Full Moon Cello inside the next chamber. After gathering all eight Instruments of the Sirens, the Full Moon Cello plays the "Ballad of the Wind Fish" alongside the other instruments while Link plays his Ocarina in oder to open the Wind Fish's Egg.
Hyrule Warriors Legends
In Hyrule Warriors Legends, the Full Moon Cello appears as an Item Card in the Koholint Island Map of Adventure Mode, which is included in the Link's Awakening DLC Pack. It gives the Warrior a maxed out Special Attack Gauge during the battle as a Bonus Rule.