"Don't you like coffee?" 點解呀??

[Don't you like coffiee?] 是反問句, 解 [你不喜歡咖啡嗎?]
跟 [Do you like coffee?] 有一點分別.
[Do you like coffee?] 解 [你喜歡咖啡嗎?]

你一定要用 [don't] after [no]. 和一定要用 [do] after [yes].

記住:
前面是positive,後面就要是positive;
e.g., Yes, I do; Yes, I want it.
相反,前面是negative,後面就要是negative!!!
e.g., No, I don't; No, I don't want it.

不要用中文的思維來想英語怎說.

1/ Don't you like coffee? = 你不喜歡喝咖啡嗎? (或 - 你是否不喜歡喝咖啡?)
Answers:
No, I don't. (不喜歡)
Yes I do (喜歡)

2/ Do you like coffee? = 你喜歡喝咖啡嗎?
Answers:
No (不喜歡)
Yes (喜歡)