The 2nd area of the 1st Chapter is called Auqui Pit.

Around the level you'll notice small rocks running around. These are creatures called Lapicrabs.
Like most creatures in the game, you can interact with them in some way with "E" on Keyboard or "X" on 360 controller. Usually the first time you'll get charge crystals and then have to wait for them to regenerate. Simply interact with the same Lapicrab 5 times to get the Aggression management Achievement. Remember that you'll need to wait for the creature to come to rest before being able to interact with it.

Chapter 3, Area 3 is called Lake Ober.

You'll find the surface of the frozen lake capable of being surfed on with your staff. If you surf by the little creatures called Scipuins they'll join you skating on their bellies.
To unlock the Likeminded Achievement, you'll need to surf with at least one of them for 30 seconds.
I can't say for sure it must be 30 consecutive seconds with the same one, but I suggest just surfing in circles until you get the achievement.

In Chapter 4, Area 2, Cavulta Canyon.

As you walk into the canyon, there are 2 creatures to your right walking in the sand and 3 to your left near some grass and cacti. These are called Caloobs.
In order to unlock the Herder Achievement you need to walk over to the left and interact, using "E" or "X" once again, with each of the group of 3.
These creatures lose interest quickly, so make sure they're close together, interact, and walk some distance so each follows you at the same time just to ensure you get the achievement. If you miss your chance, just wait for their crystals to grow back.

The 2nd area of the 5th Chapter is called Yeccaph Mesa.

At the top of the stone staircase right where the title of the area appears, look straight ahead, to the left, and to the right. You'll notice what looks like a some strange plants with little charge crystals on them. These are actually Astendeons. They're usually in pairs or groups, so getting multiple airborne at the same time is better since it increases your chance of getting the achievement while you're dashing.
Just line up and dash through them, turn around, and dash through again. I'd wait to dash until they've fallen back down and level out to around your character's head height from the ground. It's been extremely accurate of a measure for me while testing the achievement. As long as you keep one in the air for 10 seconds you'll unlock the Ground is lava Achievement.