Bitcoin was exactly that project. Satoshi's ideas are embodied nowhere else but in his/her/their creation which is Bitcoin. However, those same ideas and creation were so incredible that they themselves caused a very coveted BTC as a result.
Bitcoin was, but didn’t turn out to be in the end. I’d say that Satoshi’s ideas were embedded, but not fully embodied in Bitcoin. The idea of a decentralized independent currency was truly incredible. I was shocked and excited when I first learned about Bitcoin and its capabilities, which is why I wish that idea to be fully implemented in the initial form. Bitcoin is a brilliant solution, which gave a start to a whole new industry. Being the first of its kind, however, leads to inevitable mistakes. Satoshi foresaw many problems but made some mistakes too. Now, after many years, we can study all emerged problems and propose a solution to them.
I wish you luck. But this one is not a road less traveled. Toying with this exactly same idea in the not-so-distant past were shitcoins. Bitcoin Cash claimed to be the project carrying the original ideas of Satoshi. And then came Bitcoin SV. This is not to count other shitcoins which are not forks of the original. And all in a span of a decade.
What you listed are early projects that cannot be considered a serious improvement, just minor alterations of the same concept. We can also add anonymous coins like Zcash, Monero and others. They introduced a number of good useful technologies and actually made a huge contribution to the industry, but at the same time didn’t progress much toward creating a widely adopted currency.
After the creation of Ethereum, everybody turned to a decentralized virtual machine concept and I didn’t see any serious attempts to come back to the initial concept and create a platform solely for payments.
Finally, it seems to me that the creation of an embodiment of Satoshi's ideas is not as hard as selling it to the public. The source is right there, tweaking here and there is a bit easy, but good luck telling the people yours is the real epitome of Satoshi's philosophy.
You are terribly wrong about this. It is extremely hard to create a solution for all problems at once. I’d say nearly impossible. The scalability issue alone is a problem that no one managed to solve properly. And we have a bunch of other problems of equal importance. We actually had to revise literally everything we now about decentralized SMR systems and build a protocol completely from scratch. It took two years just to design the system.