The best replacement for bagging is mulching.

The best alternatives to bagging are rated as following:
★★★★★  mulching
★★★  rendering
★★★  boosting
★★  mulching grass
★★  mulching leaves
★  mulching lawn
★  mulching blade
★  bootstrapping
★  random forest
★  huffing
★  mulching mowers
★  cross validation
  side discharge
  mulch
  mulching better for the grass
  mulching when mowing

Your alternative for bagging is not listed? Suggest!
Speaking about bagging, one probably shouldn't forget about mulching blades.

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



Google Trends

Scale is based on the average worldwide traffic of bagging in all years. Click on graph for more.
bagging
mulching
rendering