Akiko's Frying Pan
First, begin your single player quests until you are able to do the "Secret Delivery" quest. Start this quest and while on Pioneer 2, talk to a man near the hospital (he'll mention something about WEAPONS). When prompted to answer his questions, select "!!" as your answers. Finish the quest to have this conversation registered. Now you will need to find four different people who mention WEAPONS in four different missions, which are Gran Squall, Lost Bride, Claiming a Stake, and the Value of Money, to gain their approval and be able to acquire this weapon. Also, you have to beat these quests and the rest of the quests to gain access to older quests.Once you have acquired the approval of these four specific characters, go back to the "Secret Delivery" quest. Talk to the same man you talked to before and he'll tell you to talk to the WEAPON leader. She's located in the weapon shop. After you talk to her, you will acquire the rare, TP-friendly weapon, Akiko's Frying Pan.