Take modern science (and therefore central heating, modern healthcare, etc). Science depends on the conviction that the universe functions in an orderly, consistent way.
It's no coincidence that modern science first arose in the West where many (if not most) of the early pioneers of modern science (like Galileo, Kepler, Pascal, Newton and Faraday) were Christians who held the Biblical belief that this universe is the creation of a personal, intelligent, consistent God (and therefore something that can be explored and understood). In all sorts of ways, Biblical beliefs formed the foundation on which science could be built. The outstanding physicist, James Maxwell, even had Psalm 111:2 inscribed on the door of his laboratory in Cambridge).
Some people might argue that though the Bible had relevance, it doesn't any longer - we've "outgrown" it. But I don't think it's that simple. If you remove the foundation on which something was built, you put that thing at risk. Science is a perfect example.
If you discard the Biblical "worldview" (way-of-seeing-the-world) in which modern science arose, you have to replace it with something else. For example, those who claim there isn't a God are usually left to conclude that everything is the product of purely natural causes, including our brains (which simply evolved by chance to survive). But this belief threatens to undermine any real confidence that the conclusions drawn by our brains can be trusted! As Charles Darwin said, "with me, the horrid doubt always arises whether the convictions of man's mind (which has been developed from the mind of the lower animals) are of any value or at all trustworthy".
And having lost faith in the Biblical worldview, others are adopting worldviews which threaten Science even more. For example, many "Postmodernists" claim there's no such thing as truth (or that it can't be known), in which case Science is a complete waste of time!
My own belief is that the Bible is infinitely relevant in the 21st century. As well as being instrumental in bringing about many of the good things we now take for granted (modern science; human rights; widespread education; etc) it also points to, preserves and unpacks the life and message of Jesus - something which I believe is of eternal relevance to every person in this world.
So let's read it!
P.S. If you haven't got one, I'll gladly give you a free one : )