It is not know how Honey Lemon obtained her Power Purse, which access to another, unknown dimension from which she can pull out all kinds of items and use those things to her liking. At one point in her life, Honey was recruited by the Japanese organization that created the country's first super-hero team known as the Big Hero Six.
She seemingly grew attracted to the team's newest potential recruit, Hiro Takachiho, as she kept smiling at him flirtatiously. Later, Honey helped overthrow a menace called Everwraith and saved Japan from destruction.
Soon after, Big Hero 6 moved their headquarters from the Giri Office Building to Japan's Cool World Amusement Park, where they were attacked by X the Unknowable, a monster born from a child's drawings that could transform its atomic structure into any form and shape. With the help of Alpha Flight, Big Hero 6 destroyed X the Unknowable in the fires of Mount Fuji. Afterwards, Big Hero 6 continued to protect Japan from all threats, such as when the team rescued Tokyo residents from a freak blizzard caused by the Crimson Cowl (Justine Hammer) and her Masters of Evil.
Sometime later, a mysterious individual used a machine to mind-control the entire team of Big Hero Six, including Honey Lemon. They were sent to Canada once again, where they fought the newest incarnation of Alpha Flight until Sasquatch discovered the plot. Honey Lemon was, along with of the rest of the team, brought back to normal and they all returned to Japan to discover who mind-controlled them.
Big Hero 6 help Alpha Flight protect the timestream.
Spider-Man rallies many of earth heroes including Big Hero 6 to help stop the construction of Doctor Octopus' satellites.  Big Hero 6 found one of the facilities, discovered that it is guarded by Everwraith. Despite a tough battle, Big Hero 6 finally ended up victorious.