I found this:
during boot as soon as you see the blue OSMC splash screen hold down CTRL on the keyboard until you see a login prompt
Worth a try if Esc isn’t working for you.
Since you are repeatedly getting these corruptions and are sure you’ve used power supplies that meet the required spec. for the Pi 2, it might be worth considering a replacement SD card. They can get quite a workout and some brands that might work just fine in, say, a camera, simply aren’t good enough for running an operating system.