Punches thrown is a stat tracked within Xbox Fitness, so if you've already done plenty of workouts involving punches, this can already be done.
Many are reporting the game auto-unlocks it without requiring any additional input, or auto-unlocking with the update datestamped in the past. In my case, the achievement was on "Done! Unlocking..." until I loaded a workout with punches. After the first punch, the achievement unlocked.
Otherwise, this serves as an extension to Furious Fists. I would recommend Mossa Fight 1, as it also gives progress towards That Was My Everest.