The best replacement for crampons is snowshoes.

The best alternatives to crampons are rated as following:
★★★★★  snowshoes
★★★  yaktrax
★★★  microspikes
★  automatic crampons
★  strap
★  ice axe

Your alternative for crampons is not listed? Suggest!
Speaking about crampons, one probably shouldn't forget about hiking boots.

Other search terms related to crampons and their ratings are:
★★★★★ hiking boots
★★★★ snowboard boots
★ yeti gaiters
★ snowshoe
You have in mind a companion for crampons and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of crampons in all years. Click on graph for more.
crampons
snowshoes
yaktrax