I’m going to venture a guess:
Is it the land of Ooo, from Adventure Time? (Spoilers ahead for the show’s plot)
Come around, come around, glad you all came.
The title song begins, “Adventure Time! Come on, grab your friends.”
The outro/credits song begins with, “Come along with me...”
Welcome to the land where a small, hairy ball got its fame.
A reference to Jake the Dog. As well as gaining popularity as a main character, his Bacon Pancakes song is a memorable part of the show.
Here you can see a dysfunctional family.
A man who beat his wife and left his son voluntarily.
Finn’s family could be described as dysfunctional. For one, his dad was basically a criminal in the society where Finn’s mother lived. Fast forward about ten or fifteen years and Finn’s dad is in various stages of imprisonment while his mom lives inside a computer an entire ocean away. His dad repeatedly abandons him, and his mom almost keeps Finn trapped on the island. Kinda messed up.
As for “beating” his wife...well, he really “beat” her initial expectations of him. He “beat it” when he had to leave. :-)
...okay, I haven’t really figured out that part yet.
Here you can see the Devil himself.
Following a high school girl who showing off her wealth.
We see the Lich (an absolutely evil embodiment of death and destruction) possess Princess Bubblegum after she “shows off her wealth” by giving Finn and Jake special gems.
Here you can see a different world.
Ooo is still the Earth, but the mutagenic bomb changed everything.
A hasty get up makes a teenage boy crippled.
The grass sword binds to Finn’s arm. When it is first lost, Finn loses his arm with it.
“With Jake the Dog and Finn the Human, the fun will never end, it’s Adventure Time!”