I have been proposing induction hobs as the best choice for both safety and energy consumption, so would be interested to hear of any real health concerns.
As far as safety goes, my view is based on personal experience - my Gran had her hand and wrist badly burned by her gas cooker when I was young - needing long hospital stays, skin grafts etc.
Also there is ample evidence that gas cooking is harmful because of the products of combustion, some of which are defintitely toxic, and the unburned gas itself. Whilst we now require a gas boiler to be sealed from the room, with both flue and air intake directly connected to the outside air, we seem OK with 10kW or so of completely unflued gas combustion in our living space. In a work place situation this is not allowed and the gas stays off until an extraction hood is running.
I do like cooking on gas, but the more I look into it, the more keen I am to ditch our gas hob!