The best replacement for abiword is openoffice.

The best alternatives to abiword are rated as following:
★★★★★  openoffice
★★★  libreoffice
★★  winword
★★  word
★★  bean
★★  openoffice writer
★★  writer
★  jarte
★  libreoffice writer
★  kword
★  open office
  libre office
  calligra

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Speaking about abiword, one probably shouldn't forget about docx.

Other search terms related to abiword and their ratings are:
★★★★★ docx
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Google Trends

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abiword
openoffice
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