Soundproofing advice on Existing Basement room w/pics

Nothing you do short of major construction/modification is going to eliminate the sound bleeding into the rest of the house. Although with planning you can greatly reduce it.

I'm surprised your ceiling has any insulation in it at all. GG & DD is an effective solution, but you can do better with very little extra work. I suggest:
1. Installing 2x4 blocking (4" side facing the floor) between your rafters. Do not install these flush. For example the top of 2x4 to the bottom of the rafter should be 2 5/8" leaving room for furring channels.
2. Install insulation in the ceiling
3. Mount Furring Channel to the 2x4s for the entire length of the room
4. Then use sound isolation clips to mount the first layer of drywall to the furring channels. This should give you about a 1/2" gap between drywall and rafter. YMMV Gaps and measures will vary based on manufacture specific product purchased.
5. GG another Drywall layer to the first.

Sounds complicated, it's not. You can Google or search on here for more info. The dedicated Theater forum has tons of posts on this method with pictures.

BTW: Since you have insulation I'll assume your recessed lights are IC rated. If not fix that issue. One reason, Fire, second, vented lights release sound into the ceiling.

So that's the ceiling.. Now you need to worry about the HVAC lines.
At a minimum I suggest:
1. Wrap the HVAC lines in a mass loaded barrier.
2. Install vent/return silencers
Ideally I would remove the main HVAC line behind the poll and replace it with an insulated soundproofed line.
This link will give you idea of solutions. There are other products/methods available that are cheaper and most costly than this. Search it.

You'll need to decide where to spend time and money though. In my house more sound comes through the HVAC system than floors/ceilings.

Good Luck

Forgot I had this image. This should clarify the sound proofing instructions.

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