`1.` We are interested in receiving your comments.

`-` like + V-ing `=` tobe interested in + V-ing : yêu thích làm gì

`2.` She is keen on watching football in her free time.

`-` fond of + V-ing `=` keen on + V-ing : yêu thích làm gì

`3.` She's not interested in the idea but we think we can talk her around.

`-` keen on + V-ing `=` tobe interested in + V-ing : yêu thích làm gì

`4.` My sister is absolutely crazy about chocolate whereas I can take it or leave it. 

`-` like + V-ing `=` crazy about + V-ing : yêu thích làm gì

`5.` On behalf of the entire company, I  would like to thank you for all your work. 

`-` want + to V-inf `=` would like to V-inf : muốn làm gì

=>

1. We are interested in receiving your comments.

-> be interested in: thích thú, quan tâm

2. She is keen on watching football in her free time.

-> keen on Ving: thích

3. She's not interested in the idea but we think we can talk her around.

-> be interested in: thích thú, quan tâm

4. My sister is absolutely crazy about chocolate whereas I can take it or leave it.

-> be crazy about: nghiện, say mê 

5. On behalf of the entire company, I would like to thank you for all your work.

-> would like to V: muốn làm gì