For IDing artwork like this, Google's Reverse Image search is very handy. Just click on the little camera in the search bar here, or, in Chrome, right click on the image and click "Search Google for this image." Often, this can help you identify the vessel on which the image appears and where that vessel is stored/exhibited.

For instance, with reverse search you can find your fourth image, a wide "siana" cup, on this page. Lucky for us, it says right in the caption the collection it's in and its number there. The number and museum name will be unique to each object; each museum though, has its own catalogue system. Search this vessel's number, and we can find its record. This site from Tufts University is a great resource if you're doing anymore research on Classical art, archaeology, or language, for personal interest, term papers, or the like.

By the same method, we can learn that the first image is from an amphora in the British Museum. An increasing number of museums are digitizing their archives and making them available to the public online, so take advantage of that! Hopefully this will help you with these particular images and any other research needs you may encounter.