Here are a few.
Fast and Furious
Complete the first objective in less than 5 minutes in the "Tulagi Landing" mission. Just shoot the float planes quickly. There are 2 waves.
Way of the Sun
Complete the 1st secondary mission objective in the "Fate of Hiryu" mission
After you reach the first yellow point, another one will pop up to the right. It will seem way out of the way but just go to it and the achievement will pop.
Stay near the flight leader all the way to the enemy fleet in the "American Strike" mission.
Very simple, just follow the planes till it pops.