Game shows episodes are rarely named anything more than Show #x in production, so if anything I prefer the method which lists the contestants on the show as the title, as it provides more information about the episode rather than redundantly repeating the air date.
Games shows need a lot of love on TVDB, and being of a throw away nature, will be hard to find reliable information on. Jeopardy! has a summer hiatus and follows similar production cycles as Wheel of Fortune and therefore doesn't make sense being displayed as a yearly season. That being said, I couldn't even begin to produce a reliable episode list for you to work from without huge gaps due to lack of information. All I can tell you is that a jeopardy "season" usually begins in September and ends in August or July, and they are currently on Season 30, but they're only counting the 1984 revival and not the original with Art Flemming. (source: http://www.youtube.com/watch?v=HAKTGcih2cM
I browsed the Jeopardy Archive mentioned in the original post and it is probably the most accurate and comprehensive listing of Jeopardy shows that I have seen, but it is still incomplete in many areas. It's a shame ajrockrock gave up on his project, but given the daunting task in front of him I don't blame him.