I don't like how my name is automatically entered into the "Player Involved" input box. This should be empty by default.
Also, I would like my search parameters to be saved after leaving the replay tab. For example, if I search for games with 2 players, no bots, and longer than 10 minutes, the replay tab gives me a list of games with these features. If I click one of the replays, then click on the "back" button, the replay tab forgets what I searched for, so I have to re-enter it all again. This can be frustrating.