I have some problems with your initial rundown. A lot of your good and above-average presidents are rated based on one or maybe two categories, but not all of them. And indeed, in those missing categories we sometimes find points of contention. Now, to be sure, I'm no expert in US history. I never formally studied it (unlike Canadian history) and at least for the 19th century, my knowledge is patchy at best. But I'll still go through this with my layman's opinions. I won't do this in one go either, so for now I'll just take your good presidents.
Washington gets full marks on legacy, civil society, executive leadership.
Washington governed under exceptional circumstances, but he did a good job. I think he should be outside the competition, but I know I'm in a minority on that. So having said that, no objections.
Jefferson scores big on foreign policy and legacy,
Jefferson's confrontation with the British was a gamble - a lucky one, but a gamble nevertheless. He actively supported Napoleon, something which was not a very nice thing to do in the eyes of many Europeans. Without the Louisiana purchase (which Jefferson himself had no hand in, however), the Napoleonic Wars may have ended earlier. On the other hand, those wars brought masses of European refugees to the US who contributed significantly to the shaping of America, so from a purely American perspective, you could argue that was a good thing. Overall, I'm okay with him on this half of the list.
Madison's crisis management was arguably bad but gets good marks on leadership and legacy,
How can someone get good leadership marks with bad crisis management? Arguably Madison's greatest achievement was making the people believe the US won the War of 1812. Those are high legacy marks though, no doubt, and he was probably the first president to have a lasting impact on US civil society.
Monroe nails that foreign policy thing (ever hear of the Monroe Doctrine, it's kind of a big deal).
Monroe did more than the Monroe Doctrine, though. He oversaw the Missouri Compromise - now whether that was a good or bad thing is a difficult debate - he fought the first imperialist war of expansion in US history and tried to influence Congress beyond his constitutional powers. He can't get marks on crisis management in the Panic of 1819 because, as you said, "Economy is not on this list because
the president has very little control over the economy. The state of the economy is a function of Congress, and wrangling Congress is under the "executive leadership" tab. " -- more on this later. The Monroe Doctrine was proven a good thing by history, but overall, I'm not sold on him.
Polk won the Mexican-American War,
Polk provoked and started the Mexican-American War, so he shouldn't be judged for winning it as if he had been imposed with that burden. He vetoed Congress decisions for internal development funding and re-established the Independent Treasury, so what was that "control over the economy" thing again? He oversaw the biggest territorial expansion of the US, which is undoubtedly a success. Not sold on Polk, like, at all.
Like Washington, Lincoln governed under unusual circumstances, so I always feel he shouldn't be in the competition. But again - I'm in the minority with this opinion, so I have no objections.
Teddy Roosevelt invented national parks and is on Mt. Rushmore,
I'm largely okay with Roosevelt, but those two are hardly proper criteria.
Wilson won WW1 and invented the League of Nations,
A great case of why you should judge the presidents by all aforementioned criteria and not just by one. Foreign Policy was okay. I don't think it's fair to say he "won" WW1, but he significantly contributed to its shortening. Executive leadership - he was certainly an executive, for better or worse. His antitrust laws are fine, but you don't have to don a tinfoil hat to consider the Revenue Act and Federal Reserve Act controversial. Civil Society - Wilson absolutely supported segregation and screened Birth of a Nation in the White House and as a historian inspired the re-formation of the KKK. Yeah, fuck that, man. Not opposing women's suffrage when it had already become unstoppable is not an achievement compared to that. Crisis management - He handled the coal strike rather well, I guess. Completely failed with the Spanish Flu and saw the US plunge into depression, though. He was a terrible leader during the First Red Scare. Legacy - League of Nations failed, Wilson had zero authority over post-WW1 structures, the US suffered from economic depression, pandemic, racial rioting and anti-Communist witch hunts. His expansion of the federal government is one of the main roots of the irreconcilable partisanship the US is suffering from today. Wilson was a bad president.
FDR beat the Great Depression, Nazi Germany, Imperial Japan and invented a better League of Nations with less legs,
No objections.
Truman successfully managed the post-WW2 reintegration of the economy and opposed Communist rule,
I thought the president has very little control over the economy. But yeah, the shift from total war to peace economy is difficult and the US handled it well enough. Truman was also anti-segregation. But he did absolutely nothing to de-escalate tensions with the USSR. The Korean War was a shit-fest and Truman's politics were the breeding ground for McCarthy. Not sold on Truman.
Ike was probably the best president the US ever had, and certainly the best in the 20th century.
Kennedy gets points for the space race
Loses points for imperialist policy and playing risk with the Cuban Missile Crisis, though.
LBJ gets points for Medicare,
Loses points for Vietnam. Big time.
Reagan gets points for foreign policy
Loses point for Iran-Contra, national debt, voodoo economics (aka "Reaganomics" or "Trickle Down"), risking nuclear war. Bad president.
The Clinton administration saw the American trade balance plummet and it hasn't seen any sustainable recovery since. This is one of the factors that have set the stage for MAGA.
Obama for a little of each.
I don't know if it's already time to evaluate Obama's presidency historically, but he failed to reconcile the people and his presidency has not made the recovery of American economy or foreign political reputation bulletproof. I don't know how much of that is his fault and how much is thanks to the Great Recession and Agent Orange, though. I think it's too early to say if he was a good or a bad president.