The best replacement for odp.net is odac.

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★★★★★  odac
★★  oracleclient
★★  devart
★★  system.data.oracleclient
  oledb
  ado.net

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Speaking about odp.net, one probably shouldn't forget about enterprise library.

Other search terms related to odp.net and their ratings are:
★★★★★ enterprise library
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