Turbo, I had a similar problem, lost all my photos, videos etc on an external hard drive. My problem was not a reformatted drive, but a totally corrupt and inaccessible hard disc.

I spent months following advice after advice but never gave up. Lots of programs via google and the internet promised to recover the files, but no proof, and they wanted money up front.

Eventually I found a program. It will actually show you all the files it can recover before you need to part with any money. So you can be sure first that it will work.

The program is called 'filescavenger'. It does claim to recover certain files from a formatted drive.
However, beauty is, you can download it and try first, it will list (in window type presentation format) all the files it can retrieve. Then it is up to you, the cost is only a few dollars.

Type 'filescavenger' into Google to find it.

............. After all this, do as I do now, BACK UP ALL YOUR FILES ON TO AN EXTRA DRIVE!!!! Once burnt ......

Good luck.