We can make some available from Retail systems, where the logs are the checkout operator. These are logs of main messages sent via PreTranslateMessage to the application. The operator tends to use the same screen all day, but there are a number of popup and child windows that show. Our logs only show the inputs such as keystrokes and clicks; they do not show any output such as error messages. http://www.fieldpine.com/docs/tech/datasets.htm
I am not sure if these will contain enough information, depending on what your aim is. To fully understand and analyse you might also need to know some details about what button is positioned where. Maybe we can provide that too if needed but this is then getting quite specific. We have instrumentation all through the code and can track from user action, to processing flow, to final outcome. From your sale receipt we can track back to exact keystrokes if we want too.
At the moment I have only loaded a small sample so you can verify it has what you need, I will get some larger samples online next week.