The best replacement for gas heating is electric heating.

The best alternatives to gas heating are rated as following:
★★★★★  electric heating
★★★★  oil
★★★★  electric
★★★  oil heating
★  reverse cycle
★  air conditioning
  electric heat pump
  electrical heating
  reverse cycle air conditioner
  reverse cycle air-conditioning
  propane heating

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No companions for gas heating have been suggested so far.
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Google Trends

Scale is based on the average worldwide traffic of gas heating in all years. Click on graph for more.
gas heating
electric heating