The best replacement for edit is revise.

The best alternatives to edit are rated as following:
★★★★★  revise
★★★  remix
★★  proofread
★  modify
★  sound forge
★  update
★  copy edit
★  remove
★  textwrangler
★  prior authorization
★  adobe audition
★  amend
★  notepad++
★  audacity
★  sublime text
★  cut videos
★  hp tuners
★  komodo ide
  copy pdf
  artillery
  crop pictures
  aptana
  view
  roll edit
  gearbox
  insert edit
  copyedit
  hard edit

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Speaking about edit, one probably shouldn't forget about adobe.

Other search terms related to edit and their ratings are:
★★★★★ adobe
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edit
revise
remix