Gas vs Electric.
A gas surface is ideal for sautéing and pan frying, the sorts of thing where I want to move quickly between higher and lower heats. For similar reasons, I very much prefer gas for hollandaise, beurre blanc, and similar sauces, and even for heating eggs for a génoise batter. I also like gas for roasting chiles—there’s nothing like an open flame for that.
An electric surface is ideal for boiling big pots of water—I’m shocked at how much faster it is than gas—and for low simmers, for extended cooking of all sorts, like stews, and for shallow-fat frying. For these applications, the ability to set a specific heat output and keep it constant is ideal. (Controlled output is also why I’ve learned to love the non-infinite dials and push-buttons of older models.)
In short—
Gas: instant heat adjustment, open-flame applications
Electric: precise levels of heat output, better heat transfer
For canning, which seems to take place only on the hottest days of summer, I use a propane “patio stove” out on the deck. That kind of work simply has to happen outside. (I would use an electric version if such a thing existed, but it doesn’t.)
For broiling... well, gas units shouldn’t even include a broiler.
Ovens are a trickier thing to judge. In my experience, no gas oven has ever performed as well as an electric one. But the fault very likely lies in the low quality of the gas ovens I was using, not entirely in the fuel source. Even so, gas units must have an intake of air, which makes the oven temperature unstable, while electric units only need a little outgoing ventilation, which just naturally leads to a more even temperature. Only the best gas ovens even try to overcome this problem; but even then, I remain unconvinced. I can trace two dramatic baking failures to gas ovens, both of them destroying baked items that were expected a parties I was catering. You don’t go through that and forget it.