This is what I put up more than twenty years ago (yes time waits for no man). The space between the joists were filled with fiberglass insulation batts, resilient metal channels were installed, a first layer of gypsum board was installed to the resilient channels with drywall screws, the joints of this first layer were taped and filled with mud, a second layer of gypsum board was installed with the boards running opposite the first layer so that the joints would be overlapped, these joints were also taped and filled, I then put a rough textured stucco finish over the whole ceiling. The same was done for the wall dividing this room from the rest of the basement, save and except for the stucco finish. This works pretty well in that there is considerable mass, unlike a suspended ceiling, while it is also decoupled from the rest of the structure to a certain extent and there is some give owing to the resilient channels. Are there newer ways of doing it: maybe. Are there cheaper ways of doing it: surely. Are there much better ways accessible to a handyman: I don't think so. It worked for me.
Sound control when finnishing a basement?
I am about to finish the basement in our home which will become my new audio/video area and want to know how best to control the sound going through the ceiling. Some of the ceilung will be dry walled but most of it will be a drop ceiling with tiles. Are there tiles that you can use in a drop ceiling that will control sound better than the typical tiles that you can buy at Home Depot?