I haven't tried Goo-Gone, but Ronsonal lighter fluid (naptha) has always worked great (won't eat labels or plastic like laquer thinner or acetone)
Flood the inside edge of the ring. Then try and separate just a small part of the outside edge if you can, and capillary some fluid into the separation. Slowly begin lifting the ring as you add more fluid. It will soften the adhesive and continue releasing. Just go slowly and be patient. Wash the disc after with diswashing detergent and rinse. Then use your favorite CD treatment like Finyl or Optrix.
Flood the inside edge of the ring. Then try and separate just a small part of the outside edge if you can, and capillary some fluid into the separation. Slowly begin lifting the ring as you add more fluid. It will soften the adhesive and continue releasing. Just go slowly and be patient. Wash the disc after with diswashing detergent and rinse. Then use your favorite CD treatment like Finyl or Optrix.