Cabinet recommendation

Timbernation can build you anything you want.  Very high quality workmanship.  

Try Googling credenza, sideboard, record storage (or something like that).

Example:

https://www.departmentchicago.com/product-page/60-record-cabinet

DeKay

Thanks Dekay! Yeah that cabinet you linked is the closest thing I’ve found to what I’m looking for - unfortunately they cannot make drawers in the size I need. 
Any other reccos?

I missed the CD storage part.

I store CD's (on end) in the shallow drawers of an old Tansu cabinet (holds 1200+).

Perhaps consider storing the CD's/LP's in separate units?

Many use Ikea units for LP storage as they come in various sizes/configurations, and they are cheap.

A shallow drawer credenza/sideboard could hold the CD's with the electronics on top.

Six months ago I would have suggested hitting the local thrifts/used furniture shops for a REAL piece of vintage furniture that would work, but realize that doing so is no longer feasible for some time to come.

Custom work here/Los Angeles costs a fortune (think they charge $135/hour for the glue to cure).

DeKay