The Legend of Zelda: Breath of the Wild/Great Plateau Tower/Shrines

Oman Au Shrine
Examine the pedestal to get the Magnesis rune. Use it to pick up one or both of the metal slabs and then enter the hole. Pick up the free metallic block or the one in the wall and push the other blocks aside. A Guardian Scout is waiting behind the wall. If you push a metallic block to the maximum distance and swing it side to side, you can kill the guard before it sees you. Be sure to grab anything it drops. Walk over the next metal slab, then move it to the next gap. On the left is a chest. Pull it over and open it to get the Traveler's Bow. Pull on the doors to get through to the end. Examine the glowing symbol on the altar to complete the shrine.
 * Name: Magnesis Trial
 * Location: Northeast corner, across the large pond from the tower.
 * Extra Rewards: Magnesis Rune, Traveler's Bow
 * Enemies: 1 Guardian Scout

Ja Baij Shrine
The pedestal will give you the Remote Bomb runes. Use a cube bomb to blow up the huge blocks. The right path leads to a chest with the Traveler's Claymore. The left path leads to a moving platform. Place a cube bomb on the far edge, then return to safety before detonating it next to the wall. Alternatively, you can place it at the foot of the wall and use the platform for movement only. The next room contains three angled pillars moving rhythmically. The closer pillar on the left is only for information. The other pillar on the left can get you to a chest with an Amber. Drop a round bomb into the funnel next to the pillar on the right. Once the bomb has reached the blockage, detonate it and continue to the altar.
 * Name: Bomb Trial
 * Location: Eastern Abbey
 * Extra Rewards: Remote Bomb Rune, Traveler's Claymore, Amber
 * Enemies: None

Owa Daim Shrine
This pedestal gives you the Stasis rune. The first task is to stop the gear while the platform is horizontal, then run over it. Be careful not to fall into the abyss. The next slope has boulders rolling down it. Wait for one to drop off, then sprint up and out of the way of the next. You will need to use Stasis on the next boulder to prevent it from hitting you. If you want the Traveler's Shield, repeat the process on the next slope. You can use Stasis on the next boulder while it is still falling to help you get back safely. To get to the altar, you will need to move a stationary boulder by using Stasis on it and then hitting it repeatedly. The Iron Sledgehammer you can find on the way is useful for this, but other weapons like the Boko Club work too.
 * Name: Stasis Trial
 * Location: Southern edge, just west of the canyon.
 * Extra Rewards: Stasis Rune, Iron Sledgehammer, Traveler's Shield
 * Enemies: Rolling boulders

Keh Namut Shrine
This pedestal gives you the Cryonis rune. You can get into the passage either by freezing a pillar and climbing it or by freezing a pillar underneath you. Freeze a pillar under the gate to open it. A Guardian Scout is waiting around the corner. Charge in and kill it before it can fire its laser. Alternatively, you can take cover behind the protrusion on the left, then attack the guard when it investigates. The chest at the top of the pillar has a Traveler's Spear. Freeze a pillar underneath one end of the seesaw to make a slope you can walk up. It doesn't matter which side you pick because there is nothing else between you and the altar.
 * Name: Cryonis Trial
 * Location: Just south of the one pool west of the River of the Dead.
 * Extra Rewards: Cryonis Rune, Traveler's Spear
 * Enemies: 1 Guardian Scout