It would seem that you'd be able to get this working using SSIS (for example).
Here is a sample link showing how to access e-mail messages using C#. The hardest part of getting that to work in SSIS is probably getting the right permissions sorted out. Once you have them in SSIS, pumping them into a SQL Server table should be easy enough.
If you haven't even tried to resolve your issue, please don't expect the hard-working volunteers here to waste their time providing links to answers which you could easily have found yourself.