The difficulty in building a sound proofed ceiling is mounting sufficient mass horizontally.
The brute force solution is to lay concrete on top of metal shuttering, preferably as a double-leaf construction.
The concrete could be up to 175 mm thick in total. As always, mass wins.
For a less heavily engineered solution, the BBC recommend woodwool slabs.
Woodwool is a sheet or board made from a mixture of thin strips of wood and cement, which are bound together through compression within a mould.
Layers of plasterboard can be used too, providing they are adequately supported.
'Acoustic tiles' are virtually useless as sound insulation, although they do find application in acoustic treatment.