-(으)면 좋겠다

Expresses a wish or hope: 'it would be nice if…, I hope…'. With -아/어 주시면 좋겠다 it also makes a soft, polite request.

감정·희망Feelings, hopes & regrets

Han: -고 싶다 only expresses the subject's own wish to act; for a hope about someone else use -(으)면 좋겠다.

Examples

회의 자료는 금요일까지 보내 주시면 좋겠습니다.I would appreciate it if you could send the meeting materials by Friday.

할머니 감기가 빨리 나으면 좋겠다.I hope Grandma gets over her cold soon.

내일은 날씨가 맑으면 좋겠어요.I hope the weather is clear tomorrow.

V/A+(으)면 좋겠다

N+(이)면 좋겠다

오다 → 오면 좋겠다; 맑다 → 맑으면 좋겠다; 살다 → 살면 좋겠다; 낫다 → 나으면 좋겠다; 주말 → 주말이면 좋겠다

It works for wishes about other people and situations, not only about yourself: 동생이 합격하면 좋겠어요.
-아/어 주시면 좋겠다 (or 좋겠습니다) is a polite indirect request, common at work: 내일까지 보내 주시면 좋겠습니다.
As a question it asks for someone's preference: 언제 만나면 좋겠어요? 'When would be good for us to meet?'

Wrong: ~~저는 동생이 대학에 합격하고 싶어요.~~

Right: 저는 동생이 대학에 합격하면 좋겠어요.

-고 싶다 only expresses the subject's own wish to act; for a hope about someone else use -(으)면 좋겠다.

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