By disabling overlays, adjusting your audio sample rate, forcing Windows 7 compatibility, and--if necessary--swapping the save file, you can finally watch the story unfold beyond the rooftop.
: During breach sequences or transitions, avoid rushing forward or reloading immediately after a kill, as this can trigger a freeze. Letting your squadmates take some of the kills in the final moments of a level can sometimes prevent a crash. Technical Troubleshooting Lower Graphics Settings
This is the gold standard fix. The crash happens because the game cannot write your progression to the registry. By manually entering the necessary registry keys and running the game with administrative privileges, you force the game to recognize the profile data it needs to load the next level.