My list of minor interface improvements:
1. When I go to the diplomacy screen, I want to click once on the name of the civ I want to talk to, instead of having to click twice.
2. I'd like to go directly to the trading screen for a civ, instead of going to the screen where I have several options like trade or declare war. Since I almost always want the trading screen. From the trading screen, there could be another way to get to other diplomatic options.
3. Display fractional movement points remaining for units that have moved along roads (already mentioned).
4. A way to find out the amount of work that has been done on a worker project (rather than having to click on one of the workers and get "will be done in 3 turns" and have to figure out how many workers are working and then divide. E.g., the message could instead say "working on mine which is 38% complete".
5. I want to control the order that I cycle through cities. E.g., a popup window where I can drag cities up or down in the ordering, so I control which cities I go to with the next button.
6. When I'm in the city view, I want to be able to click on another city that I can see (or even a space that I can see which is being worked by another city) and immediately jump to the view for that city, instead of having to exit the city view, and click on that other city.
7. In-game popup when I end my turn that tells me a city is about to go into disorder.
8. Be able to display all civs on the F4 screen, instead of 8 at most.
9. Worker projects should complete during the turn instead of waiting until the end of the turn. So if I order two workers to build a road, and it takes 3 units of work, the road will finish in the middle of my 2nd turn, and one of the two workers will be available to move or start another project. Same for irrigation, mines, etc.
10. I'd like to be able to cycle among only workers, or among only combat units. Often I want to move all my combat units, and then all my workers, and this is hard to do. Being able to go to the next unit of the same type, or skip all units of this type and go to a different type, would probably be enough.
11. A hotkey for "fortify and then wake next turn". Often I have movement left, I want to fortify a unit, but I know I'm going to want to move it next turn. This could be a single key that fortifies the unit but remembers to wake it at the start of my next turn.
12. On the F3 screen, it's virtually impossible to scroll among captured workers, even to see how many I have. Improve this interface.
13. Display number of scientists on F1 screen.
14. Some way to list techs that other civs could trade to you (i.e., they are willing to negotiate and they have a tech you can learn) without having to open all the diplomatic screens individually.
15. Display a numerical count of the shields in the production box, as well as the box itself (so it's possible to see just how many you have, even if it's a big number like 538 out of 600).