For more information on double-faced cards, see the Shadows over Innistrad mechanics article (http://magic.wizards.com/en/articles/archive/feature/shadows-over-innistrad-mechanics).
The number of card types matters, not the number of cards. For example, Wicker Witch (an artifact creature) along with Catalog (an instant) and Chaplainâ€™s Blessing (a sorcery) will enable delirium.
The card types in Magic are artifact, creature, enchantment, instant, land, planeswalker, sorcery, and tribal (a card type that appears on some older cards). Supertypes (such as legendary and basic) and subtypes (such as Human and Equipment) are not counted.
Some delirium abilities are activated abilities of permanents. To activate such an ability, there must be four or more card types among cards in your graveyard. The number of card types is not rechecked as the ability resolves.
In some rare cases, you can have a token or a copy of a spell in your graveyard at the moment that an objectâ€™s delirium ability counts the card types among cards in your graveyard, before that token or copy ceases to exist. Because tokens and copies of spells are not cards, even if they are copies of cards, their types will never be counted.
Because you consider only the characteristics of a double-faced cardâ€™s front face while itâ€™s not on the battlefield, the types of its back face wonâ€™t be counted for delirium.
Activating Kindly Strangerâ€™s ability twice wonâ€™t cause it to transform back into Kindly Stranger once it has already transformed into Demon-Possessed Witch.