I love the different puzzles in the game and was hoping to share and learn some really interesting ones that I've found. Hopefully if anyone knows of any they can share the locations for others to enjoy.
The first one I've found is an achieve in lions arch. It starts in the lower right corner of the map by the vista. You get to it by jumping around the farmhouse on the bales of hay, there is a hidden tunnel behind some foliage. After getting the vista there is a cave that looks like a mouth you want to stand close to the middle and aim in between the 2 streams of water you'll see shooting down below. Once you successfully make the jump go up the rock ledge, you will have to do a bit of climbing to get up to the next level. Once there you will be greeted by a hallway of spike traps. Just stay as close to the center as you can and you'll be fine. Afterwards is a little more climbing then you get to a tricky part where it's a small area with a relatively easy jump puzzle but when you approach it the room will go completely dark. To navigate the room you can either use an ability that lights up the area, or you can use a ground targetable spell to outline the platforms by using the cast range reticle without actually casting the spell. After the dark room you are faced with 3 choices. The drop on the far right (red torch) is the one with water, the other 2 are instant death. At the bottom is a chest and your achieve.
Next is a seemingly simple yet much longer than at first glance jumping puzzle. It starts off at Morgan's spiral in the silvari starting zone. Be sure to get the skill point at the bottom. Proceed to jump grapple and claw your way to the top and end of the spiral and once you are on solid land there will be a little chest with a silvari npc and some tame spiderlings around. But if you continue heading back and around you will see some floating rocks leading to another area guarded by a pair of silvari archers and a plant turret thing. Go through that alcove and you will appear in a grove where everything has a slight purplish tint to it. There is a series of mushrooms that make a little jump puzzle along the wall. Be sure to kill the plant turrets with a ranged weapon along the way as they will attack and put you in combat causing you to move slower and possibly miss jumps. Once you work your way down to the ground head toward the wall on the opposite side and you will see a mushroom trail leading back up. Head back up and along the branches. You will have to do some creative jumping here because the path will start to get vertical quick so just make sure you look at your jumps and jump well. Soon you will see the mushrooms even out into a path again and you will be rewarded with a large chest and an achieve.
The last one for now is a puzzle for a chest boss and achieve. Be sure to bring friends for this, a large group is best the boss is no pushover. This starts in the upper right corner of second charr zone the 15-25 one, I forget the name at the moment. It's an area called the incendio templum. You may have to fight the flame legion charr for control of the area before the portal is open. Once it's yours enter the portal. First thing you have to do is head down the stairs on the opposite side of the old statues, avoid the pressure plates, they will do a lot of damage if not 1 shot you. Down the stairs there will be a veteran flame shaman standing in front of a wall of ice, kill him to make him explode and melt the ice, he doesn't move so you can easily kill him with ranged. In the next room there is a sword frozen in the ground in the center. Head to the back wall where some pillars have collapsed and climb up to get on the top. You will see a plank sticking out in front of a dangling chain. Walk onto the plank and your skill bar will change to where you just have 1 action. Use this action to leap at the chain, if you aim right you will grab the chain and that will shatter the ice around the sword. 1 person needs to grab this sword and keep it, you will need it later. Head out of the room and up the left staircase, watch the pressure plates. You want to head down the stairs to your left but first you need to destroy one of the old statues and grab its head. Down the staircase the floor is all ice and there's a cannon in the center. Have the person with the statue head load it in the cannon to shatter the floor, swim behind the newly revealed staircase to the passage below. Avoid the underwater flames and head down the hallway. Next room there will be several coffins bordering the walls and flame spitters on the walls. The other hallway leads back out your goal is the closed gate on the far end. To open this you have to extinguish all the flame spitters in that room. To do this click on one of the frost torches on the pillars to get their buff. Open the coffins between the flame spitters to release a bubble. This bubble will reflect projectiles back at you. You have to shoot the bubble with ranged attacks and once they bounce back and hit you because of the frost torch buff they will explode in an icy puff on you, if you are close enough to the flame spitters when this explosion happens they will become extinguished. There is harpoon guns on the ground to assist you with launching ranged attacks. Once they are all put out the gate will open. In the next room there is a bunch of statues on the outside wall that are holding swords except for 1. This is where the guy holding the sword from the first room comes in. Place the sword on the statue to open the final gate. This is the bosses room he will be guarding the chest at the end of the room defeat him and the treasure and achieve is yours.