There are 2 potentially easy ways of doing this.
1. Set up an online Custom Grand Prix session, set the race distance to one lap and assist restrictions to the following:
Braking Assist - BANNED
ABS - BANNED
Traction Control - BANNED
Dynamic Racing Line - BANNED
Gearbox - RESTRICT TO MANUAL
Pit Assist - BANNED
Invite at least one friend in order to be able to start. Simply win the race to unlock the achievement.
2. If you have two controllers, set up a split screen race and make sure to set race distance to one lap, AI drivers to off and enter the difficulty settings by selecting "Difficulty Level". Make sure driving assists are set to the following:
Braking Assist - OFF
ABS - OFF
Traction Control - OFF
Dynamic Racing Line - OFF
Gearbox - Manual Sequential
Pit Assist - Off
Start and win the race to unlock the achievement.
Be very aware of only going full-throttle when you have finished steering out of a corner and your car is in a straight line again, otherwise you will lose traction and spin out.