Apart from OGR2GUI and MapInfo Universal Translator and Esri Data Interoperability, there is a way to convert MIF/MID files into shapefiles without having anything else than ArcGIS for Desktop (any license level) installed.
C:\Program Files (x86)\ArcGIS\Desktop10.3\Bin, there is a utility called
avmifshp.exe which will do the trick. Keep in mind that you would need to define the coordinate system on your own afterwards. You will need to re-define the styles and labels etc (coming from .map file, which cannot be converted with this utility into .mxd) on your own while creating a new ArcGIS map document.
For more details on the usage, look here at this blog post. I have tested the workflow and it works great.