Heart Points (ハートポイント Hātopointo?) are a currency introduced in Kingdom Hearts 358/2 Days. They are collected after defeating Emblem Heartless and are used to purchase items in the Moogle Shop inside the Grey Area or the Station Plaza. The Chain Time ability helps gather Heart Points faster.
Moogle Points (モーグリポイント Mōguri Pointo?) are a currency introduced in Kingdom Hearts: Chain of Memories. They're used to purchase Cards in Moogle Rooms. Moogle Points are collected via Heartless battles and destroying objects.
In Reverse/Rebirth, Moogle Points server as experience points for Riku.
Limited VIP Coins
Jewels (ジュエル Jueru?) are a type of currency introduced in Kingdom Hearts Union χ. They are used to purchase Medal packs and Avatar Boards, replenish AP and the Special Attack gauge, purchase items from the Moogle Shop, and get a Second Chance after being knocked out during a quest.
Jewels are obtained throughout quests and as a daily login bonus. They can also be earned via Daily, Weekly, and Monthly objectives between the Player and their party, and can be purchased using real world currency.