The best replacement for push press is military press.

The best alternatives to push press are rated as following:
★★★★★  military press
★★★★  shoulder press
★★★★  jerk
★★★★  overhead press
★★★★  push jerk
★★★★  strict press
★★★★  press
★★★  thruster
★★  ohp
★  clean and press
★  shoulder to overhead
★  power clean
★  power jerk
★  split jerk
★  clean jerk
  clean and jerk

Your alternative for push press is not listed? Suggest!
Speaking about push press, one probably shouldn't forget about squat.

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



Google Trends

Scale is based on the average worldwide traffic of push press in all years. Click on graph for more.
push press
military press
shoulder press