The best replacement for i3 3220 is fx 6300.

The best alternatives to i3 3220 are rated as following:
★★★★★  fx 6300
★★★★  i3 4130
★★★★  3240
★★★  i5 3470
★★★  i3 2120
★★★  fx 4300
★★★  fx 8320
★★  i5 3330
★★  i3 4330
★★  g2030
★★  athlon x4 760k
★  i5 2400
★  fx6100
★  a10 5800k
★  i3 2100
★  i3 2130
★  a8 5500
★  e8400
★  a8 5600k
  i3 3240
  a8 6600k
  a10 6800k
  i5 750

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Speaking about i3 3220, one probably shouldn't forget about gtx 660.

Other search terms related to i3 3220 and their ratings are:
★★★★★ gtx 660
★★★★ 7850
★★ gtx 650 ti
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Google Trends

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i3 3220
fx 6300
i3 4130