Enchantments (magic the gathering)?

"Enchantment - Aura" (formerly "Enchantment - Enchant Creature") targets a specific creature when played, and is perminently attached to that creature (usually as a reminder of this, the aura card will be placed under the target creature, with just the top of the aura card visible to remind everyone that it is there). When the creature it is attached to dies, it does indeed go away as well (to the graveyard unless some effect of the aura or the cause of the aura leaving play specifies otherwise)