1
1 Shall we stop for a minute?
2 Would you like a game?
3 I'll post that letter for you.

2
Shall we sit here?
Shall I get them?
We could sit by those trees
Would you like a sandwich?
Will you have one Rachel?
Would anyone like one?

3
1 Would you like a cup of tea?
  Will you have a cup of tea?
  Won't you have a cup of tea?

2 What can I say in my letter?
  What could I say in my letter?
  What should I say in my letter?

3 Let's have a cup of coffee
  Why don't we have a cup of coffee? 
  Shall we have a cup of coffee?
  We could have a cup of coffee.

4  I can (could) walk you home (if you like)
   Would you like me to walk home with you?
   Shall I walk home with you?

5  Would you like to (come and) visit me one weekend?
   Will you (come and) visit me one weekend?
   Come and visit me one weekend.
   I'll be delighted if you could spend (come and spend) a weekend with me.