I haven't really investigated what technologies you're using, but I just wanted to suggest looking into DataTables for things like the list of games. https://datatables.net
I've used it in several different projects, and it's awesome. It gives you full sorting capabilities along with filtering/searching. You can easily use its filter function to provide features like a checkbox to only show "new" tables, etc. And users could type in someone's name to filter down the results to just that player's table.
They're using angular, so a variant like https://l-lin.github.io/angular-datatables/#/welcome would likely need to be used.