I am sorry, but I run out of ideas here.
Some of the steps I already suggested should have made a difference.
Last thing I can think of is that you move the entire "Mass Effect" folder from the "Documants\Bioware" folder and test.
Do you use, or did you used any mods?
Having the game installed on both clients is not a good idea. You should clean uninstall the game and then reinstall with only one client.
If that doesn’t helps, create a DxDiag in text file format and post it with your next reply.
If you use Windows 7 also go to your Reliability monitor > Press the Windows key and "R" at the same time and copy and paste or type "perfmon /rel" (without the quotes) in the new Window > hit “ENTER” and look if it has entries for the game you have trouble with.
If yes double click at the last entry for the game executable, copy the info to the clipboard, and save it to a text file.
You can attach the DxDiag text file you created (and the “Reliability monitor” text file as well) to your post in the “Reply” window with the “Choose File” button.
Try to disable the "Hardware" (Audio) setting in the "MassEffectConfig.exe" (>drive<:\Program Files (x86)\Origin Games\Mass Effect\Binaries) Audio settings.
(If it shows "Software" as you lunch the tool > Set it to "Hardware" first.)
Click on the "Mass Effect" Tab in the main menu > Save Settings > Test.
If that don't helps:
Hmm... Strange it show for first advice a more complex error message and for second try changing names of dll-s and such run in admin mode same error Vram
What was the more complex error message?
Same as steam one but more like wihout folder of missing file or sort of and now is persist on vram was just once showed after i try second tip i follow instructions and lead me to vram error.
Go into your "">drive<:\Program Files (x86)\Origin Games\Mass Effect\Binaries" folder and set compatibility mode to Windows 7 for the "MassEffect.exe"
(Right click the exe > properties > compatibility) Then Run the game from the "MassEffect.exe"