The best replacement for turpentine is mineral spirits.

The best alternatives to turpentine are rated as following:
★★★★★  mineral spirits
★★★★  paint thinner
★★★  thinner
★★  kerosene
★★  turpenoid
★★  acetone
★★  linseed oil
★  gamsol
★  white spirit
★  varsol
★  methylated spirits
★  gum turpentine
★  pagecache
  lacquer thinner
  methylated spirit
  denatured alcohol
  keratex
  naptha
  naphtha
  turpentine

Your alternative for turpentine is not listed? Suggest!
Speaking about turpentine, one probably shouldn't forget about oil pastels.

Other search terms related to turpentine and their ratings are:
★★★★★ oil pastels
★★★★★ linseed oil
★★★ oil paints
★★ oil paint
soft pastels
You have in mind a companion for turpentine and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of turpentine in all years. Click on graph for more.
turpentine
mineral spirits
paint thinner