The site LDS Videos (lds-videos.org, not an official Church site) has a collection LDS General Conference videos from 1972 to the present. You can select conference talks by speaker, topic, or conference.

If you ever want to look for a General Conference quote or are looking for text to make a meme, this is an excellent source for finding quotes. The page of each talk has the video, and for the description, links directly to the text of the talk at conference.lds.org.