What are the other clearance and instructions that must be read back?
Generally speaking, you should read back all clearances, instructions and warnings. You may in some cases not need to read back information, unless it is safety critical (for example QNH).

One of the only instructions I can think of that you do not need to read back is an instruction to report something (report passing 5000 feet, report established, report overhead XYZ). A proper reply to an instruction to report something would be "WILCO". But in all other cases, if ATC directly instructs you to do something, it should be read back.