An improved outdoor cooking apparatus features a specially configured pot with multiple specially configured cooking inserts and burner frame that supports a burner element. One insert is a rack that can be used for cooking one or more whole poultry carcasses. Another insert is a perforated basket that can be used to hold items to be cooked. The pot has a lower tapered section that includes a tapering downwardly sidewall or walls meeting a smaller, generally rectangular bottom panel. The pot has an upper section with a larger transverse cross section than the pot bottom, preferably comprised of generally vertically oriented side all sections. The basket can be correspondingly shaped to the contour of the pot interior.