Thanks to thrtnturtles for the solutions!
In the action game, BIC: Back to School http://www.neopets.com/games/bic.phtml, there is a Stamp Collection Quest. If you collect all stamps without closing the game’s browser window, you receive 500 neopoints (only once per user). In order to get the stamps, you must visit different sections of the game.
1. To earn the stamp on the far right with a blue and white pen, visit www.itsyourBIC.com twice using the link in the game’s browser window.
2. To earn the stamp second from the right with a light and dark blue pen, view the “About BIC” section twice using the link in the game’s browser window.
3. To earn the stamp second from the left with a pink pen, finish a game of BIC: Back to School.
4. To earn the stamp third from the right with a red and black pen, send a challenge card after finishing a game of BIC: Back to School.
5. To earn the stamp third from the left with a blue and purple pen, send your score for BIC: Back to School twice.
6. To earn the stamp on the far left with a green and white pen, start the game, BIC: Back to School three times.