Mohsen, one of the easiest and quick ways to find all the SST data available freely is to explore Earth Science Data Search NASA webpage. Just type SST in the search box and check the results. I found at least 633 collections when I searched with the 'SST' keyword. Follow attached link.
Temporal resolution of LANDSAT data means a new image every 16 days. I believe, if you need a daily analisys, that the LANDSAT imagery is not gonna help you.
Try to visit Earth Science Data Search NASA, as James Varghese said in the answer above.