As long as your laptop's hard drive isn't more than 500gb you can buy this
Newegg.com - Wintec FileMate 3FME2500GW-R Aluminum alloy 2.5" White USB 2.0 HDD External Enclosure and turn it into an external hard drive that you can just plug it USB style into your PC and pull whatever files you want off of it and then clear the hard drive and as long as it wasn't the hard drive from the laptop that crapped out on you you'll be able to pull your files and have a brand new external hard drive!
I had to do this with a hard drive that is now probably 5 years old as well and had been sitting out unprotected on a shelf for at least 1 of them, so I'm 90% sure it will work for you xD and I did it using an older version of the product I linked you to.