Ask Slashdot: Which filesystem for the ages?

Kormoran writes: After many, many years of Internet I have some n-Terabytes HDDs full of software, photos, video, eBooks, articles, PDF, music etc. that I'd like to save forever. Problem is, my HDDs are fine, but some files are corrupting. Some videos show missing keyframes. Some photos are ill-colored. RAID systems can protect online data (to a degree), but what about offline storage? Is there a software solution, like a filesystem or a file format, specifically tailored to avoid this kind of bit rot?