Weiss Survive

The story follows the main characters Takeshi and Michi as they get lost in the Card Battle world and have to win card battles to return home.

(Ripped from Anime News Network)

Also the starting point of the Weiss Schwarz Card Game

Has its own wikia here.

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• Alternate Universe: The Weiss Schwarz world of battles.
• Battle Aura: It depends on the power and experience of the player, which also powers up their cards (ex: Takeshi at the start of the story, had weak cards of 500 power while Michi, being experienced, has 3000 power). Lampshaded by the old man.
  • Old man: In this dimension, the aura of the owner of the cards will change to become the "Ether State" and in turn, materialize through the use of the "theory of microbits".
  • Takeshi: H-hey... Erm... This isn't the time to explain these...
• Battle Butler: Joe.
• Fetish: Takeshi likes being stepped on. Mishi steps on Takeshi cause he's being an idiot (or a perv).
• Hey, It's That Voice!: Michi can be recognized as the blond detective Cordelia.
• Marshmallow Hell: Shizzle to the "Chosen One Takeshi". Michi does not approve.
• Nosebleed: Takeshi and the old man together.
• The Trio: The Chaos Sisters: Shizzle, Peretta and Carol.