If you want a non-chambered LP, you can still get a new one. As styme said it is called a LP Standard (Traditional). Personally, I'd take the chambered model over the heavier model any day.
Martin HD-28
Fender American Stratocaster
Gibson Les Paul Standard
Egnater Renegade
Fender American Stratocaster
Gibson Les Paul Standard
Egnater Renegade