Brought to my Attention again. Worth a look. Every data analytics problem should start with an understanding of the underlying process. Its OK to start very simple, but do start with something. Get agreement to its correctness. Link it to the data involved. Mining is not always required. Sometimes you can get value from just defining and examining the process!
For harder examples:
The Process Mining Factory - Powered by Icris
We offer you Process Mining as a Service (PMaaS). No need to install any process mining tools. Just open your browser, upload your log data and let the mining begin! ... "
And on to Process Improvement: Paper