The best replacement for apt is yum.

The best alternatives to apt are rated as following:
★★★★★  yum
★★★★  aptitude
★★★★  capm
★★★★  house for rent
★★★  suite
★★★  condo
★★★  unit
★★★  apt
★★  rpm
★★  ept
★★  appt
★★  dpkg
★  scenic
★  pacman
★  likely
★  gpt
★  suite #
★  apt-get
★  scenic tours
★  appropriate
★  pbs
  travelmarvel
  ste
  1 bedroom
  portage
  backyardeos
  rooms for rent
  rent house
  camp
  apv
  yast
  zypper

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Speaking about apt, one probably shouldn't forget about capm.

Other search terms related to apt and their ratings are:
★★★★★ capm
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Google Trends

Scale is based on the average worldwide traffic of apt in all years. Click on graph for more.
apt
yum
aptitude