BSOD before booting Desktop

The new computer does have Legacy Support with Compatibility Support Module enabled, and the issue still persists.

This is the best I can do since there isn't any operating system to save a screenshot to and extract from.

Were you or anyone else able to learn anything from the partition setup?

The hard drive from the backup computer is a 500GB and this one is 1TB. The other 465.5 GB is just free space.

The operating system was installed normally using the Windows CD. How does an operating system get installed in legacy mode?

Yes, the laptop came with a 2GB of dedicated space on the hard drive for recovery.

I decided to wipe my hard drive and try copying the hard drive as it came from the older computer to the new one with different hardware. I did it with MiniTool Partition Wizard, and before booting also corrected the boot files with Paragon Hard Disk Manager 15 using their Boot Corrector tool within the software. Before booting I also loaded all the new drivers onto a USB stick with Acronis True Image 2016 with Universal Restore and integrated the drivers for the new system before booting using Universal Restore.
Everything was done from a bootable USB stick.
My jaw dropped as Windows 7 loaded on the new laptop with different hardware just as it had on the older computer. Of course there are a few changes and updates that need made, update drivers, activations, etc.

Before I was using version 10.0 of Acronis True Image to make the backup image and also decided to try making another image with the newest version. I made a backup image of what I had just done above and also a backup of the old computer hard drive.

I loaded the image onto the new computer with different hardware of the current state of the other hard drive from the old computer and my jaw dropped as it loaded everything up without needing to correct the boot files or load drivers. Acronis True Image 2016 does say it automatically corrects the boot.ini file and Windows Registry during recovery of the system partition to make it bootable even if it was recovered to a non-original partition (or disk) this is when selecting the Primary partition type.

Of the two methods, I would prefer making an image and advise using the latest version of Acronis True Image to create and restore an image as it produces a better result and less errors than the disk copy method.

Thanks all for your help, I have figured this out. :)