How do you unlock Froot Loops on Poptropica?

The advertised mini-games for Froot Loops included a Frootoctopus game and a pirate game in 2008 and 2009. Another mini-game was introduced in late September 2009, called "Black Beak's Cave". In March, 2010, Froot Loops sponsored the "Egyptian Ruins" ad-game. The games were available to most users, and all with a Poptropica age of 6 to 8.

(see related question)