Minikits in order as they appear:
TREE HOUSE TROUBLES
Minikit 1 ( 00:18 )
In the first room, there is a platform for Jake's BMO to the right. Use it and play the game.
Minikit 2 ( 00:54 )
In the treasure room, destroy everything and build a big red button in the center of the room. Stand on it and hit all the pilons before time is running out. Use someone who can fly.
Minikit 3 ( 02:12 )
In the forest, go back to the end of the road. There is a shrinking ability in the Dimensions device that you can use to get the Minikit.
Minikit 4 ( 03:18 )
While rescuing the grannies, there is a little area to the right, where you need the Vine Cut ability to get to the Minikit.
Minikit 5 ( 03:36 )
At Mount Cragdor! Do you see that giant with the goggy eyes next to the red wall? Use Diffindo at the wall and cut out a rocket. The rocket will scare the giant and it will open its mouth. Go inside.
Inside, use Master Build to build a fountain. Put together the Minikit.
Minikit 6 ( 04:51 )
Still inside the giant, dance correctly at the dance floor.
Minikit 7 ( 06:03 )
Dive the bowel and destroy 5 parts.
Minikit 8 ( 06:42 )
Use the ropes to climb up to the right and use Laser / Gold Lego Blowup to cut the sign open. Put the Minikit together.
CLIMBING THE CANDY KINGDOM
Minikit 9 ( 07:19 )
Destroy the 4 traps at the pier with Laser / Gold Lego Blowup and use the car to get the Minikit in the ring. This is part of the story so you should get this one when you play through it.
TRACKING THE LICH
Minikit 10 ( 08:19 )
In the subway, go through the train in the middle area and use Charge Transfer on the charged device to charge the divice at the subway entrance.
Open the gate to the Lich (Story related) but don't go through. Shoot the box with the Dimensions Device in it. Then you can use the device to make the pattern: Center Blue, Left Red, Right Green. Now you can get the Minikit in the cup.
The Rescue is also in the subway. The ability you need to do the Rescue is "Magic Portals" which is not available yet. But hopefully sometime after Wave 7. I will publish it asap and link it here.