Mauviel M'150s copper and stainless cookware
The excellent heat conduction properties of copper make it an obvious choice for cookware. It's especially responsive to changes in temperature from the heat source, so when you turned down the burner right before your dinner burns, the pans can adjust.
But they also offer the potential for metals to leech into your food, so choosing a pan that's lined with stainless steel — like the Mauviel M'heritage line — can give you the best of both worlds. (Healthy Child Healthy World recommends using wooden utensils so you don't scratch the stainless steel, which can also leech.)