Dissidia Duodecim Final Fantasy sees release this week. Famitsu provided an early glimpse at the game's various modes of play in its most recent issue.
Here's the full mode list. These are selectable from the top screen. Note that some of the names may be different from their official English translations.
Story Mode
* The 12th Battle
* Report
* XXX
Wireless Mode
* Online Lobby
* Group Battle
* Friend Card
* Artifact
* Surechigai (StreetPass), Import
Battle Mode
* Free Battle (1 on 1)
* Free Battle (Party)
* Arcade Mode
* Labyrinth
PP Catalogue
Collection
* Creation
* Museum
Player Customize
Options
Museum allows you to view all the game's event scenes, listen to the game's music, and view character information. Events can be lined up in time order, which should make the story flow easier to understand.
The "Report" option under the story mode provides additional background story in textual form as you advance through the main story mode. You can select highlighted phrases in the text to trigger events and new battles.
There's also an "XXX" under the story section. In Famitsu, this was shown as a blank box. I'm going to guess that it's a secret sub mode.
Group Battle under the Online Mode is is an ad-hoc group battle mode that's playable by up to 10 players. The 10 players split up into two teams for a tournament. Battles are still fought one-on-one, but the other players can watch the action.
Some of the modes are not accessible from the start, but must be unlocked by working through story mode. Included in these is the Labyrinth Mode, which Famitsu provided a big close up look at this week.
LABYRINTH MODE
Labyrinth Mode is a new mode that can be thought of as an updated version of the Colosseum Mode from the first Dissidia. Making use of cards, you work your way through a dungeon, fighting battles and obtaining items and equipment.
In the above screenshot, which was posted at Famitsu.com, slots below the "Labyrinth" text are the character you're controlling, his stats, and your party members. As long as you have at least one character left, you can continue playing.
The "Medal" icon indicates the number of medals that you have. Medals are acquired by winning battles and can be exchanged for items and equipment. In general, you can't carry items and equipment into the labyrinth.
The panels at the bottom are the cards that determine your actions. The "exit" panel and three cards in the dark blue area can all be selected on your current turn. You can select the "exit" panel to leave the labyrinth. If you select one of the cards, some action is performed, the other two cards disappear, and three new cards slide in from the right side.
Cards come in various forms and determine your actions, from advancing to the next area, to adding more members to your party, all the way to triggering battles. Here are few sample card types that are listed in Famitsu:
Door Cards
Select one of these to move to another area of the labyrinth. Door cards can only be selected if the drawing of the door is open. If the door is closed, you'll need to have cleared some condition to select the card.
Job Cards
These cards change parameters, recovering your life, for example, or making it so that treasure boxes appear more frequently. You can place three of these cards in the three slots above the card area. Doing so makes the effect of the card last.
Treasure Box Cards
By selecting these, you can exchange the medals that you've obtained in battle for items.
Party Member Cards
These show the face of one of the Dissidia characters. Select this card, and you can choose to make the character into a party member or assist character.
Amongst the items that you collect, only some -- those marked with a sprite visual of a cave -- can be taken out of the dungeon, where they can be used in other modes of play. Other items can be stored in specific spots by setting up tents and cottages. The items can then be accessed the next time you enter the Labyrinth.
You'll find multiple exits in the labyrinth. If you go in further, you'll have access to rarer items but will have to face off against more powerful enemies. You can't save while you're in the labyrinth, and if you die you lose all your items.

Overall map of the labyrinth. Red marks your current spot. Green and purple mark the position of tents and cottages respectively. The S marks the starting point, and G the goal.