In Yume Nikki there are enemies that can catch you and trap you in inescapable places. There are enemies much like that in Yume 2kki. Here is the list.
Witches/Shadow Woman
These are the equivalent to the Toriningen from Yume Nikki. If they catch you, they trap you in a small area or maze you can not get out of. They can also appear to be flat when traveling left or right. On Uboachan.net and a YouTube video, she has also been referred to as "PMS-chan".
Clowns
Exactly the same as the Shadow Woman, but in a more creepy clown style. The laugh he lets out when he catches you sounds exactly like Smile-san's laugh. On Uboachan, somebody has nicknamed him Pennywise.
You can find Pennywise being sane in the dungeons of the bleeding faces world. He takes your money if you use the chainsaw on him. If you chainsaw him many times, he will chase you, and if you've been caught, he will trap you in a closed area. Even if you can escape, you're not safe, all the chasers, including the previously calm ones, will be after you, through the whole dream world, they will pop up in places you won't expect them, and often moving faster than they supposed to... They won't be calmed if you wake up, the only way to calm them is to get caught.
Shadow Bird
Doesn't exactly chase you, but moves at an average speed and traps you if you interact with it or it catches you. On Uboachan, someone has nicknamed it Crowdude. It appears to be based on The Mothman.
Shadow Gloop
A blob that actually chases you, but is way too slow to even worry about. Has a slight resemblance to Swalot from Pokemon. Someone on Uboachan has nicknamed it Fats.
Shadow ???
A big enemy that chases you, but is very slow. On Uboachan, it has been nicknamed Gonks.
Scary Face
Floating faces with mad eyes and sharp teeth. When they reach a dead end, they bounce up and down. If you get caught by him, he either brings you to a secluded area in the shape of a cross or traps you in a table surrounded by knives in Blood World.
Bug Girl
The enemy that chases you when you chainsaw her to get the bug effect. Keep in mind that if you try to use the Invisibility effect, she will move at Dogboa-speed until she reaches you.
White Eyes
Found in Geometry World in the maze. Simply send you back to the entrance of the maze.
Evil Bugs
These appear in the Red Bug Maze event. They block you from certain exits and function in the same way regular chasers do.
Robot Guard
These appear primarily in an event in the Pokemon Forest world, but also apparently guard the Fairy effect. They also appear in the Baddies Bar.