What do you like doing on your days off? What do you like doing on your days off?

or "What do you like to do on your days off?"

I havThere are many things wthat I want to do likesuch as studying English, watching YouTube videos, playing video games and, of course, sleeping! There are many things that I want to do such as studying English, watching YouTube videos, playing video games and, of course, sleeping!

I havThere are many things w(that) I want to do like studying English, watching YouTube, playing video games and, of course, sleeping! There are many things (that) I want to do like studying English, watching YouTube, playing video games and, of course, sleeping!

I put (that) in brackets because it's unnecessary in this sentence, although not incorrect.

I have many things wthat I want to do, like studying English, watching videos on YouTube, playing video games and, of course, sleeping! I have many things that I want to do, like studying English, watching videos on YouTube, playing video games and of course, sleeping!

I have many things wthat I want to do like studying English, watching YouTube, playing video games, and, of course, sleeping! I have many things that I want to do like studying English, watching YouTube, playing video games, and, of course, sleeping!

I have many things wthat I want to do, like studying English, watching YouTube, playing video games and, of course, sleeping! I have many things that I want to do, like studying English, watching YouTube, playing video games and of course, sleeping!

I have many things wthat I want to do, like studying English, watching YouTube, playing video games, and, of course, sleeping! I have many things that I want to do, like studying English, watching YouTube, playing video games, and, of course, sleeping!

Just some grammatical nuances.

I have many things wthat I want to do like studying English, watching YouTube, playing video games, and, of course, sleeping! I have many things that I want to do like studying English, watching YouTube, playing video games, and, of course, sleeping!

Mostly just small issues with commas. Most native speakers don't even know how to use them properly haha. Good job!

I have many things wthat I want to do like studying English, watching YouTube, playing video games and, of course, sleeping! I have many things that I want to do like studying English, watching YouTube, playing video games and, of course, sleeping!

ALSO POSSIBLE: I like to spend time in myat housme. ALSO POSSIBLE: I like to spend time at home.

I like to spend time in my house. I like to spend time in my house.

Or "I like to spend time at home". This sounds more natural.

I like to spend time in my house. I like to spend time in my house.

or "[...] time at home."

I like to spend time inat my house. I like to spend time at my house.

For example: at home, at the house, at her house, at his house.

I like to spend time inat my house. I like to spend time at my house.

Could also say "at home" which sounds a bit more natural in this case.