What are the must-dos in Capri, Italy?

I love Capri and these are the unmissable things to do once there:

1. Visit the Villa Jovis and Tiberius’s Jump (free)
2. Go to Lido delle Sirene (free option available)
3. Stay at La Fontelina next to the Faraglioni (entrance fee)
4. Take a boat and visit the Blue Grotto
5. Take a boat tour around the island
6. Visit Anacapri (free) and Lido del Faro (free option available)
7. Dancing at Anema e Core (entrance fee)
8. Have a drink at the legendary Piazzetta
9. Visit the Giardini Augusto (small entrance fee)