The best replacement for avermedia is hauppauge.

The best alternatives to avermedia are rated as following:
★★★★★  hauppauge
★★★  geovision
★★★  elgato
★★★  blackmagic
★★★  roxio
★★  fraps
★★  elgato game capture
★★  shadowplay
★★  leadtek
★  hauppauge hd pvr
★  hd pvr 2
★  compro
★  hauppauge pvr
★  hauppauge 1212
★  roxio hd
  ati 650
  hd pvr
  nuuo
  hdhomerun
  dxtory

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Speaking about avermedia, one probably shouldn't forget about obs.

Other search terms related to avermedia and their ratings are:
★★★★★ obs
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avermedia
hauppauge
geovision