She wants that I study more.
She wants me to study more.
They wanted that I went to university.
They wanted me to go to university.
They would want me to come with them.
They would like me to come with them.
She prefers that I remain with her.
She would prefer me to remain with her.
I would know if there are any seats available.
I would like to know if there are any seats available.
I want you to study.
They want me to go to New York.
She would prefer / would like us to go with her.
My parents would like me to leave home.
I would like to leave soon.
I wanted to leave the party because I was not enjoying myself.
I would leave straightaway if someone could give me a lift home.
want, would like, and would prefer require a particular construction: to want + someone + infinitive. Examples: I want her to go. I would like them to come. I would prefer you to stay.
would like is often used as a kind of conditional form of to want (instead of would want). So when expressing a preference in a polite way you should say I would like you to go and not I would want you to go.
When you say what you want someone else to do, say I would prefer and not I prefer. Example: I would prefer you not to make such comments. You use I prefer (i.e. the present tense) to talk about habitual preferences such as I prefer beer to wine.
Do not use would when you mean would like. Use would to form the conditional of all verbs (I would study more if I had time. She would go if you asked her). Instead would like is used to express a preference: I would like to study French.