There's bound to be others who are still searching for a fix and ending up in this thread. This might not work for you but it could help. The problem in my case is probably the sound card / driver. The funny thing is that I recently installed ME2 for a fresh play through and found the game freezing during cutscenes and sometimes in-game but rarely or never in combat (don't remember). Ctrl+alt+del followed by Esc would get the game going again. I could play the game but it was a bit annoying at times.
Today I decided to play ME3 due to the epic combat. About 2 minutes into a savegame from the Omega reactor core, the moment a cutscene with the Cerberus general started, the game froze. How odd - the exact same problem in ME2 and ME3. I disabled my audio in the devices manager after bumping into this thread and finding confirmation that it could be audio related. Problem solved though it's nigh on impossible to play the game. I don't have time to work on this now so cannot post a proper solution but here's a lead for you chaps.
The strange thing about this is that I had a very similar problem back in 2013 with ME3. It manifested itself in a different way though. I can see from the savegames that I've clocked many hours of gameplay since posting this thread, the problem kind of stopped I think...
http://answers.ea.com/t5/Mass-Effect-3/ME3-PC-cutscene-freeze/m-p/1713367