I noticed when you have 4 or more saves the display overlaps the box it is in. Why not add a scroll bar so it doesn't look ugly and keep all the saves in the box? Pic related:

I second this!

I don't think it would necessary, but would be a nice touch.

This. It's a wonder why it hasn't been implemented yet, especially given that there are possibly some players with low resolution monitors, which means that the save files they have would go immediately to the bottom for them to be unable to access it.