The best replacement for 680 is 770.

The best alternatives to 680 are rated as following:
★★★★★  770
★★★★★  780
★★★★★  760
★★★★★  7970
★★★  7950
★★★  treo 750
★★★  280x
★★★  690
★★  titan
★★  750
★★  670
★★  780 ti
★★  580
★  7870
★  590
★  650
★  r9 280x
★  palm 750
★  7970 ghz
★  660 sli
★  wait for 780
★  gtx 770
★  660 ti
★  760 gtx
★  660
  treo 650
  290
  676
  gtx 580
  gtx 780
  gtx 670
  660 ti sli
  670 sli
  770 gtx
  samsung blackjack
  centro
  amd 7970
  gtx 760
  palm centro
  760 ti
  hd 7970
  nokia e62
  290x
  688
  radeon 7970
  6970
  790
  grizzly 700

Your alternative for 680 is not listed? Suggest!
Speaking about 680, one probably shouldn't forget about 670.

Other search terms related to 680 and their ratings are:
★★★★★ 670
★★★★ i7 920
★★★★ q6600
★★★ 690
★★★ 2500k
★★★ 770
★★ physx card
★★ i5 2500k
3770k
i7 930
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Google Trends

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680
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