The best replacement for yagi is parabolic.

The best alternatives to yagi are rated as following:
★★★★★  parabolic
★★★★  log periodic
★★★  panel antenna
★★★  biquad
★★★  quad
★★★  omni
★★★  panel
★★★  cantenna
★★  omni antenna
★★  parabolic wifi
★★  bowtie antenna
★  bowtie
★  grid
★  wajanbolic
★  6 element yagi
★  omni-directional
★  grid antenna
  quad antenna
  patch antenna
  phased array
  flat panel

Your alternative for yagi is not listed? Suggest!
Speaking about yagi, one probably shouldn't forget about gamma match.

Other search terms related to yagi and their ratings are:
★★★★★ gamma match
You have in mind a companion for yagi and it is not yet here? Propose!



Google Trends

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yagi
parabolic
log periodic