Planning problems are universal, but market based capitalistic solutions have been much better than Marxist based ones. I'll ask again, please show me some examples of Marxist central planning that has been successful in reaching the goals it was set to reach.
This is really an odd question. Firstly, what do you mean by "Marxist central planning"? That seems to be an idiosyncratic term that doesn't match any well-established ones. Marxism itself isn't tied to the notion of central planning. Do you mean a Soviet-style command economy?
Secondly, does capitalism have goals that was set for it to reach? I wasn't aware that political-economies have teleological goals per se, except perhaps something as broad as unlimited capital accumulation under capitalism. So this seems to be an impossible or fanciful parameter.
If you mean to ask me to cite an example where a Soviet-style command economy has
worked outside of wartime (even though I have no stake in such a system), that's not too difficult: The period just before World War 2 in the Soviet Union. The victory over Nazi Germany was built on
something, and that something had to be built quite rapidly after the Russian Civil War. The large scale industrialisation that occurred in a relatively short span of time, though inefficient in some ways, was successful enough to yield obvious results when an unprecedented national crisis came, despite the serious strategic blunders committed during the early stages of the war. That's clearly an indication of success for its time.
Capitalism has a multitude of problems, but it also has improved life for billions of people.
Are you also counting capitalistic systems that are built on centrally-planned ones?
I didn't imply it would. It was claimed that firms often fail and therefore distributed planning is no better than centralized planning. My point is that that argument doesn't work, not that "unchecked capitalism" couldn't have planning problems at the limit.
That's not really the argument.
If we use the human body as an analogy, you can say that the failure of individual cells is not a problem. But that's as long as not too many fail together. Some of the crises we will be dealing with, such as climate change and ecological disasters, are failures of individual 'cells' that amount to mass systemic failures.