The best replacement for checkbox is check box.

The best alternatives to checkbox are rated as following:
★★★★★  check box
★★★★  radio button
★★  radio
★  radio box
★  multibox
★  toggle button
  checkedtextview
  tick box
  radiobutton

Your alternative for checkbox is not listed? Suggest!
Speaking about checkbox, one probably shouldn't forget about label.

Other search terms related to checkbox and their ratings are:
★★★★★ label
★★★ form
★ datagrid
gridview
multiple values
listview in android
gridview in asp.net
submit
You have in mind a companion for checkbox and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of checkbox in all years. Click on graph for more.
checkbox
check box
radio button