The best replacement for rup is agile.

The best alternatives to rup are rated as following:
★★★★★  agile
★★★  waterfall
★★  sdlc
★★  uml
★  scrum
★  rad
★  agile methodology
  waterfall model
  msf
  eup
  ssadm
  openup
  agile development
  togaf
  cmm
  usdp
  cdm
  pmi
  aup
  waterfall methodology
  pmbok

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Speaking about rup, one probably shouldn't forget about agile.

Other search terms related to rup and their ratings are:
★★★★★ agile
★ iterations
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Google Trends

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rup
agile
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