In mIRC Options - IRC - Logging
I have the following settings
Automatically Log Both
Timestamp Logs
Lock Log files
Include Network
Make folder
Date filenames: By Day (note the Day option was just my preference)

All other checkboxes in that section are un-checked and I get my status window logged in each network using a file name in the format of status.yyyymmdd.log

In order to get this to work correctly, I had to close and then restart mIRC after making the changes.

Hope this helps