I would like to see them allow us to look through our champions while everyone else is selecting. Another idea could be to have is if we can set up multiple tabs and select which champions in each tab (Think of like the item sets, and the drop-down menu in the shop). So say I want to go top lane a lot, I could make a tab for all my top laners and when it's my turn to pick I could just go to a tab that shows only the top laners that I added to the list...that way I could narrow down the 125+ champions, down to like...10 and gives me more time to decide which would be better for the team.
Of course still allow a tab for all the champions, so that you can pick for a team mate or if you didn't add a certain champion to that tab etc...but having a tab for each role would really help and speed things up imo. Could be a cool idea I think.