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>Battle Cafe
Basically Little Cup. Every 12 turns you can take a break and walk around the cafe like in Unova's Subway and talk to people you battled to see their pokemon like in XY cafes and get items. Though you can of course save or quit after any battle. No Megas or Z-moves allowed.
>Battle Garage
All of your pokemon need to share a type. Layout is dark and maze-like, if you're lucky you can make it to the exit without running across a trainer (but there is a minimum amount you have to defeat). You can only save or quit after every room. Megas and Z-moves allowed.
>Battle Pagoda
Like Battle Tower, but pre physical-special split. Megas are allowed, but not Z-moves.
>Battle Theater
Like Battle Castle (points based) and Battle Arcade (random stuff every turn). Three random stuff per turn, composed of Weather/Terrain, status conditoin including confusion, and order of party (who goes first). If you're lucky there can be no weather/terrain, status condition, or party order change. You will gain points based on Battle Castle's rules (usual "how many pokemon" and "how much pp") and also for "following the script" (using moves that benefit you in weather/terrain or status you're in). Changing these things don't make you lose points, since they're given only as a bonus. You can buy items including Mega stones and Z crystals with these points you can use for the next 8 battles (it will remember if you save and quit).