All in Y:
1) EZE-SCL-GYE, then 6 hours layover, then GYE-YYZ, bus to LGA, 10 hours at LGA, LGA-KCI, then MHK. From MHK I walked 12km into town. Total: 35 hours.
2) EZE-FRA (13 hours); 10 hours in FRA; FRA-PEK (10 hours), 2 hours in PEK, then 3-hour bus to Cheng-De. Total 38 hours
3) YYZ-ORD, 12 hours at ORD, ORD-PEK (13.5 hours), 7 hours in PEK, PEK-XIY, plus one-hour drive. Total: 37 hours.
There are probably a few more but I would have to check.