Are the following answers natural? Can we have short answers like these in English? Or is there misunderstanding if we answer this way?

A: Would you like some coffee?
B: Thanks, I did. / Thanks , I already did. (Instead of I drank some.)

A: (Mother to the son) Tidy up you room.
B: I did, mom. (Instead of I tidied it up.)

A: Please don't forget to buy some bread on your way home.
B: I have. (Instead of I have already bought.)