The best replacement for gas heat is heat pump.

The best alternatives to gas heat are rated as following:
★★★★★  heat pump
★★★★  electric heat
★★★  oil
★★★  oil heat
★★★  electric
★  electric cost
★  pellet stove
★  electric heat pump
★  central heat
★  space heaters
★  electric space heater
★  baseboard electric
  propane heat
  gas fireplace
  space heater
  electric heat cost
  forced air
  steam heat
  electric baseboard heat
  hot water heat
  electric heater
  electric space heaters
  electric baseboard

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Google Trends

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