Mauviel M'STEEL Black Carbon Steel Round Frying Pan With Iron Handle,

I have a few different types of carbon steel pans. This is the best of the bunch.

In terms of pans more generally, you basically only need a few pots and pans:

Medium and Large carbon steel for high heat cooking and/or versatile sautéing.

A Large dutch oven for braises

A Small non stick skillet for scrmabled eggs or omelets. Buy it cheap and rotate annually.

A Spaghetti / stock pot.

2-3 stainless steel medium sized sauce pans.

None of these need to be fancy and buy them at homegoods when they are on sale.