When I select "My Chess Games" and "Live Chess" on the game explorer, no games are dispalyed.

I read somewhere in an earlier post about this same question that it was a 'work in progress' that soon would be resolved.  That was a couple of months ago.

Patience, it seems, is a a requirement for being a member of this website.

They are working to input the games, but it will take a few months. Dont get impatient, just think about it. They have to put in each and every game someone plays in the exploror, and with 5 million members on the site, some playing zero games and some playing thousands, they have millions of games to input. So it will take a while for them to finish this update