Why are most of the world's oldest buildings in Europe and not in the Fertile Crescent?

Since you mention a en.wikipedia.org article, also consider Eurocentrism and, in particular, Anglo-centrism.

These bias are something many people don't like to consider but the English speaking bias is very real, and sure it shows in the wiki article you mention. The article has many important ommissions.

Your question should rather be: "Why are most of the world's oldest buildings in this English wiki article not in the Fertile Crescent?"

How about a little different angle: local culture and tradition of "digging". While technically true that a building can stand for thousands of years, even if they do, generally they do in an unrecognizable form. Without a conscious effort to find, many of these buildings are lost.

Most native American cities are disappeared under the jungle in a half millennia. They are found only because there is a wide-scale search after them. Remains of Troy were in the ground for long, and we know its location only because the Calverts and others were digging there for decades. In short, low population density is not necessarily good for finding old buildings, neither local cultures that may be less interested in digging up the past.

In a word - bias (when unconscious) and deception (when done deliberately and consciously).

It’s the role of a professional historian to aim at the truth and to see through bias/deception in archives and weigh up the evidence accordingly.

That you haven’t first examined the bona fides of whoever has written the article on the ten most oldest buildings would be a surprising lapse in a professional historian.

Civilisations not only build buildings, but destroy and reuse them. Many ruins were effectively used as quarries by local people and stones, e.g. bricks from Roman buildings ended up in an early medieval church, then in a late medieval fortress, then in a noble home (see here, only in Hungarian). Wikipedia also mentions how roman bricks were reused. I suppose the same happened with the oldest buildings in the Fertile Crescent - and actually lack of civilisation, lack of people around the (partially underground) building helps it to be keep undisturbed. After a few tens or hundreds of years, the building is forgotten, only to be rediscovered in the 19th or 20th century.

It's not just Europe but even narrower. You'll notice the top 3 listed are all in France. Of the rest of the top 10, 4 are in the British Isles.

I think Mark has about half of the answer: These structures are over 5 thousand years old. Human-made materials have trouble lasting that long, so the very nature of the question privileges areas with lots of available stone to work with for building materials.

One other thing not often thought about is labor. Lifting that much stone is not going to be a one-man passion project. It requires a large organized (and probably specialized) labor force. In other words, it really requires a Neolithic society.

Also, if you look closely at their conditions, they define "building" to exclude unenclosed structures like dolmen. That's probably reasonable. I don't consider a gazebo or a port-cochere to be a proper building either. However, dolmen and the earliest French "buildings" were made to serve the same purpose: they are tombs. Its a lot more useful for your visitors to enclose a tomb in France, where it can get cold and windy a lot of the year, than in India, where keeping cool in the summer is more of a problem. So the definition of building used naturally privileges structures in cold climates.

So putting this all together, the ideal locale for finding the oldest buildings would be a cold-climate Neolithic area with lots of stone. So let's look at the early centers and spread of Neolithic technology:

Where's the furthest north reached by the early Neolithic radiations? Europe. So why do they tend to have the oldest stone buildings? Probably because they needed them the most.

Actually, some of the oldest known man-made structures are in the Fertile Crescent (FC). The list in your question purposefully excludes sites like Göbekli Tepe, Tell es-Sultan, and Tell Qaramel, each in the FC, on the basis that they're not "recognizable standing buildings".

As such there's inherent bias in the source you cite to exclude sites that have either been stripped down to their foundations as they got used as quarries (see user2414208's answer) or destroyed due to disrepair and erosion, like when the roof fails and lets rain do its thing, or by natural disasters like earthquakes, floods, wildfires, and so forth.

Geography, climate, local building materials (think mud bricks), and history also all play a role in what gets to stay around and what doesn't.

Take the ruins in Malta as an example. They had been covered by dirt for countless years until re-discovered. The climate in Malta is relatively warm and dry, with very little rain. And as if to give a sense of how fast the stuff erodes just to answer your question, since the ruins got unearthed they've been deteriorating so fast that they ended up covering them to protect them.

By contrast, picture some abandoned structures that have yet to be discovered somewhere on the banks of the Euphrates or of the Tigris. It would have been flooded a bunch of times and endured a few earthquakes, both of which minimize its odds of still being around today. If it was built early enough near the estuary it might even be underwater. And then there's the fact that, in contrast with places in Western Europe, there hasn't yet been a long and well funded tradition of excavating right left and center to find out what's underground.

If you look at the details of the oldest buildings on your list, all of them are built from fieldstone or minimally-shaped quarried stone. Further, the building materials were either found on-site or transported a relatively short distance.

Most of the Fertile Crescent, and particularly Mesopotamia, does not have access to these building materials. Instead, the primary building material was mud brick, with limited use of wood. Even in a dry climate, this doesn't last very long without maintenance, and over the past ten millennia or so, they've collapsed to form a distinctive type of hill called a tell.

The Fertile Crescent buildings aren't found on List of oldest known surviving buildings, they're found on List of tells.