Would you like...? 表达说话人希望对方做某事的倾向。要用some 表示肯定意义，而不用非肯定词any 表示真正的疑问。我查阅了语料库，几乎千篇一律都用some，偶尔用any 的句子都不是来自正规词典。

1. Would you like some tea before you turn in?  

你睡前想喝杯茶吗？

来自柯林斯例句

2. Would you like some chocolate cake?  

来点巧克力蛋糕怎么样？

来自柯林斯例句

3. Would you like some more curry?  

你再来一点咖喱烧菜好吗？

来自《权威词典》

4. Would you like some melon?  

你要吃点瓜 吗 ?

来自《简明英汉词典》

5. Would you like some apple pie for dessert?  

你想不想要些苹果派当甜点?

来自《简明英汉词典》

6. Would you like some fried chicken?  

你想要来一些油炸鸡吗？

来自辞典例句

7. Come in and sit down, please. Would you like some drink, Mary?  

请进来, 请坐. 玛丽,想喝些饮料 吗 ?

来自英语晨读30分（初二）

8. Would you like some fruit --- an apple or an orange?  

你想吃点水果 吗 ?苹果还是橘子?

来自辞典例句

9. Would you like some pasta?  

想来点意大利面食 吗 ?

来自辞典例句

10. Would you like some cake or biscuit?  

你要吃点蛋糕还是并干?

来自辞典例句

......

以下例句来自网络，非正规词典。这些句子是“服务行业用语”，显而易见的是，是希望为对方提供帮助，用any 不合适。

1. Would you like any sweet, coffee or tea?  

这是甜点单, 先生, 你要一些甜点 吗 ?咖啡还是茶?

来自互联网

2. Would you like any help to change your tire?  

需要帮忙换轮胎 吗 ?

来自互联网

3. Would you like any help?  

你要帮忙 吗 ?

来自互联网

4. Would you like any soup?  

您要汤吗 ?

来自互联网

4. Would you like any vegetables and soups?  

你们相来点蔬菜和汤吗 ?

来自互联网