When I am talking with my close friend, can I say as follows?

(My family members liked it. It is not concerned with my friends.)

1. My family liked it.
2. Our family liked it.
3. Our families liked it.
[#1 seems to be right. What about #2? Is #2 grammatically correct? How about #3? Is #2 used sometimes?]

All are okay. When you use "my", you are speaking only for yourself. "Our" speaks for more than one, as in parents speaking of their children - "Our children liked it" - or siblings speaking about the rest of their family, etc. "Our families..." might be said by a married couple about their respective birth families, etc.

Yes, you can say all three of those sentences when talking about your family's opinion. Let's break them down:

1. "My family liked it."
This sentence is grammatically correct and is a common way to express that your family members approved or enjoyed something. Here, "my family" is understood as your own family.

2. "Our family liked it."
This sentence is also grammatically correct and is used when you want to express a sense of shared ownership with the person you're speaking to. By using "our" instead of "my," you indicate that your family and your friend's family have a mutual connection. It suggests that both your family and your friend's family enjoyed or approved of something together.

3. "Our families liked it."
This sentence is grammatically correct as well. Similarly to example #2, it emphasizes a shared ownership or connection between your family and your friend's family. However, this form uses the plural "families" to explicitly acknowledge that there are multiple families involved – yours and your friend's – who both liked or enjoyed something.

While #1 is the most commonly used option, #2 and #3 can also be used depending on the specific context and relationship between you and your friend. They are both grammatically correct, but #2 is slightly more common than #3.