The best replacement for fx 8320 is fx 6300.

The best alternatives to fx 8320 are rated as following:
★★★★★  fx 6300
★★★★★  i5 4670k
★★★★  8350
★★★★  fx 6350
★★★  i5 3570k
★★★  i5 4570
★★★  fx 8350
★★  a10 7850k
★★  i5 4430
★★  i3 4340
★  i3 4130
★  a10 6800k
★  6300
★  i5 4440
★  i5 4670
★  i5 2500k
  i5 3470
  fx 8150
  amd fx 6300
  i7 3770k
  fx 8120

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Speaking about fx 8320, one probably shouldn't forget about r9 270x.

Other search terms related to fx 8320 and their ratings are:
★★★★★ r9 270x
★★★ gtx 760
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Google Trends

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fx 8320
fx 6300
i5 4670k