Not yet, but I have been in contact with Stardock support, and they have been troubleshooting with me. So far, Stardock support has been very responsive, about every two days, and they are trying to help me. I really appreciate their customer support so far. Many other companies just send you the standard company line which is almost never helpful.
I am able to run the game successfully by launching from the legendaryheroes.exe located in the game folder, located at 'C:\Program Files (x86)\Steam\steamapps\common\FE Legendary Heroes
Here is the latest e-mail that I received from Stardock support this morning. I will try these things when I get home from work today.
Try going to 'C:\Program Files (x86)\Steam\steamapps\common\FE Legendary Heroes\' and then deleting the 'lh_remove_prefs.exe' and 'lh_screens_cache.exe' files. Once that has been done, try to run the game again.
If that does not change anything, with the files deleted, try verifying the game's cache files.
Open up Steam and right click on the game and select properties, then choose the option 'Verify Integrity of Game Cache' like so: http://screencast.com/t/QwZ9xVyT
After the game files are read/repaired attempt to run the game again in Steam and see if that fixes the issue.
Thanks,
Good luck, and let me know if you find a solution. I will do the same.