Go to Driver DNA Lab, select custom DNA race, create DNA race, scroll to the bottom and select Drift Endurance.
Note: you need league 6 unlock, it can be in xbox live or normal career.
Location: Germany, Frost Bite
Car: Skyline R33 Stock
Mods: These are not necessary but i would suggest League 6 level 3 weight reduction, and level 1 power for a bit more drive-ability. I suggest these cause i almost straightened up a lot while i was going for this in the stock version, but in the stock R33 i did it first time in around 45 minutes.