"Inspire c/w Game" is the thirty-third single released by Ayumi Hamasaki. It came out on July 28, 2004. The single was the number-one single on the Oricon charts for that week. To date, "Inspire c/w Game" has sold over 320,000 copies, making it Hamasaki's highest selling single of 2004. The PV for "Inspire" was filmed in Los Angeles, California.
"Step you/is this Love?" is the 35th single released by Ayumi Hamasaki. It was a double a-side single released on April 20, 2005. "Step you/is this Love?" was the first single released by Ayumi Hamasaki in 2005. "Step you/is this Love?" was the best-selling solo female single of 2005 until September 2005, when Mika Nakashima's Glamorous Sky outsold it.
"fairyland c/w alterna" is the 36th single released by Ayumi Hamasaki. It was released on August 3, 2005. It instantly shot to #1 on the Oricon charts where it stayed for the full week. After one week of sales, "fairyland c/w alterna" sold over 172,000 copies, making it her highest sales debut for a single for 2005. "fairyland"'s PV was shot in Hawaii and is one of the most expensive music videos ever made in Japan and world-wide.
"Heaven" is the thirty-seventh single released by Ayumi Hamasaki. It was released on September 14, 2005. On the first day it placed number two; the second day it was at number three. The rest of the week, though, it climbed to number one, where it stayed. At week's end, "Heaven" sold over 169,000 copies and came in at number one on the Oricon charts. Overall, it lasted for forty-six days in the top twenty of the Oricon daily charts over a forty-nine day period; forty-two of them being consecutive.