The best replacement for halo reach is halo 3.

The best alternatives to halo reach are rated as following:
★★★★★  halo 3
★★★★★  black ops
★★★  halo 4
★★★  odst
★★  call of duty black ops
★★  cod black ops
★  modern warfare 2
★  halo 4 multiplayer
★  halo 4 graphics
★  halo wars
★  killzone 2
★  fall of reach
★  killzone 3
★  halo 2
★  gears of war 3
  firefight
  mw3
  call of duty
  red dead redemption
  fable 3
  fallout new vegas
  medal of honor
  call of duty modern warfare 2
  dead rising 2
  anniversary
  halo 4 armor
  halo odst

Your alternative for halo reach is not listed? Suggest!
Speaking about halo reach, one probably shouldn't forget about recon.

Other search terms related to halo reach and their ratings are:
★★★★★ recon
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Google Trends

Scale is based on the average worldwide traffic of halo reach in all years. Click on graph for more.
halo reach
halo 3
black ops