Easy Transfer from a dead computer
Solution 1:
If you are even the least bit handy with computer hardware you can remove the disk from the old computer and plug it into the new. Then you simply copy the files you want from the old disk.
There are many online guides to building desktop computers. Any of these will show you how to unplug and plug in a hard disk. If the new computer is a laptop you may need an external USB disk enclosure.
Edit or comment with hardware details and somebody here at SU will probably post additional help.