Use wish + someone + would + verb to complain about an annoying habit or to want someone else to change what they do. It's about behavior you'd like to stop or start.
wish + would: you want someone to change
I wish he would stop interrupting. (it annoys me)
I wish it would stop raining. (I want it to change)
I wish you would listen to me. (you don't, and I want you to)
Try it: Mei's neighbor plays loud music every night. She's fed up and wants him to change this habit. Which fits wanting someone to change an annoying habit? (I wish he would turn the music down. / I wish he turned the music down.) Answer: I wish he would turn the music down. — She wants him to change an annoying habit, so use wish + would: I wish he would turn it down. The plain past (wish he turned) fits a steady state you'd like different, but here it's his repeated behavior she wants to change.
wish + wouldn't: you want someone to stop
To complain about a habit you want someone to stop, use wish + someone + wouldn't + base verb. It's the same pattern, just made negative — wouldn't = would not. The verb stays in its base form.
I wish you wouldn't interrupt me. (please stop interrupting)
I wish he wouldn't leave the door open. (it annoys me — stop it)
I wish they wouldn't play music so late. (I want them to stop)
Not "I wish you don't shout." — say "I wish you wouldn't shout.". For a habit you want stopped, use wouldn't + base verb — not the present (don't).
Try it: Amara's brother keeps taking her charger without asking. She's annoyed and wants him to stop doing it. She wants the habit to STOP. Which fits? (I wish you wouldn't take my charger. / I wish you would take my charger.) Answer: I wish you wouldn't take my charger. — She wants him to stop, so use the negative: wish + wouldn't + base verb — I wish you wouldn't take it. The positive (I wish you would take it) asks him to start, the opposite of what she means.
would for behavior, past for how things are
Use would for behavior someone could choose to change — usually someone else, because complaining about your own behavior sounds odd. For how things simply are (including how you are), use wish + the past form instead. A state isn't something anyone can decide to change, so would doesn't fit it.
I wish they would be quiet. (behavior — they could choose to)
I wish I were taller. (how I am — nobody can choose that)
I wish I had more time. (how things are, not behavior)
Not "I wish I would be taller." — say "I wish I were taller.". Being tall is a state, not something anyone can decide to do — so use the past form (were), not would.
Try it: Hiroshi is annoyed that his flatmate keeps leaving dishes in the sink and wants him to stop. Hiroshi feels he just isn't a tidy sort of person, and wishes that were different about him. Match each one. Which fits each? Answer: Hiroshi is annoyed that his flatmate keeps leaving dishes in the sink and wants him to stop. → 1 → I wish he would wash up. · 2 → I wish I were tidier. Hiroshi feels he just isn't a tidy sort of person, and wishes that were different about him. → 1 → I wish he washed up. · 2 → I wish I would be tidier. — Washing up is behavior his flatmate could choose to change, so that one takes wish + would: I wish he would wash up. Being a tidy sort of person is how someone simply is, not a thing they can decide to do, so that one takes wish + the past form: I wish I were tidier. Would for changeable behavior, the past form for how things are.