Types of breast cancer. This section tells you about the different types of breast cancer. First, there is information about two very early types called ductal carcinoma in situ (DCIS) and lobular carcinoma in situ (LCIS).The other pages in this section are about particular types of invasive breast cancer.There is also a page about breast cancer in men. You can choose from the following menu. 1  DCIS-ductal carcinoma in situ. 2  LCIS-lobular carcinoma in situ. 3  Invasive breast cancer (NST).4  Invasive lobular breast cancer.5  Inflammatory breast cancer.he other pages in this section are about particular types of invasive breast cancer. There is also a page about breast cancer in men. You can choose from the following menu. 1  DCIS-ductal carcinoma in situ. 2  LCIS-lobular carcinoma in situ. 3  Invasive breast cancer (NST). 4  Invasive lobular breast cancer. 5  Inflammatory breast cancer.