Would you like to...

1.Would you like to...
Yes I'd love to/No,thanks
2.Could you like to...
Yes,I could/No,I couldn't
3.Can you ...
Yes,I can/No,I can't
4.How /What about going to ...
That's good/great等
5.Would you please ...
Sure/Sorry+原因/
6.Why don't you...
That's sounds good.等

区别不大，只是部分体现语言委婉

Would you like to... 一般是提出邀请的，回答的话，你接受就说i'd love to.不接受就说i'd love to,but i'm sorry that i'm too busy.或者其他委婉拒绝。
Could you like to... 很少见，大概是更客气的would you like to...
Can you ... 一般是请求别人帮助的，你愿意帮助...