Equip Trap Cards 「罠・装備カード」 are a type of Trap Card, existing only in the Yu-Gi-Oh! R manga. They are a type of Equip Card. No such cards exist in the OCG or TCG. Equip Trap Cards include cards like "Metalmorph", "Amulet of Affection", "Mirror Barrier", etc.
In the OCG/TCG, Metalmorph was made into a Normal Trap Card (a misprint in Premium Pack 1 labeled it as a Continuous Trap Card by mistake) that becomes an Equip Card after activation. While no TCG/OCG Equip Trap Cards exist, some Normal Trap Cards are treated as Equip Cards immediately after activation (such as "Blast with Chain").