Rarely in the U.S. Shall I make you a coffee? = Can I make you coffee? Would you like a coffee? Shall I feed the dog while you’re away? = Should I ... / Would you like me to ... Shall we go to the cinema together over the weekend ? = Should we ... / Would you like to ... Who shall we invite to the dinner party? = Who should we ...

I'm from the US, and the people I interact with hardly ever use "shall" except those circumstances outlined by Tinnu. They mostly use "should" or "want" or some other replacement. Unless they're quoting Lord of the Rings: "You shall not pass!". ;-)

From my experience, British English speakers do use it but in American English it is rarely used. In the US, it is mostly replaced with "should." (although it is technically a different tense of the same verb I believe)

Hi, yes shall is still used. We use ‘shall’ in the following ways: a) to make offers using I/we - Shall I make you a coffee? - Shall we help you with your bags? Where shall I leave you? Outside your house? Shall I feed the dog while you’re away? b) to make suggestions using I/we Shall we go to the cinema together over the weekend ? Shall we have something to eat? Who shall we invite to the dinner party? What shall we do after we’ve been for a run? I hope this helps:)

Can the verb be replaced by anything?