Nonmagical Wand: This wand does nothing, but looks pretty neat. It has the cheapest recipe.
Wand of Light: Shoots a magical torch (called a Mage Light) into place, letting you light up distant areas.
Wand of Darkness Bane: Summons 9 wisps, which seek out darkness and place Mage Lights. A couple uses of this wand will safely illuminate your precious village and thus prevent monsters from spawning.
Here we can see wisps lighting up an NPC village:
Wand of Growth: This wand grows plants like bonemeal. It can also grow plants that don’t normally respond to bonemeal and makes moss grow on cobblestone.
Wand of Harvesting: Harvests crops and plants in a large area. Good for collecting apples from trees.
Wand of Mining: Instantly mines any stone that a stone pick-axe can break when you right-click. Does not work on wood or other non-mining materials.
Wand of Bridging: When used on the top of a cliff, this wand summons a cobblestone bridge up to 32 blocks long.
Wand of Climbing: Summons vines up and down a wall so you can easily climb up/down.
Wand of Freezing: Instantly turns water into ice (and lava into cobblestone). Great for making bridges over rivers.
Wand of Healing: Tosses a splash instant-health potion.
Wand of Illusions: This devious wand turns common blocks, such as dirt or grass or stone, into illusory versions that look real, but you can walk (or fall) right through them as if they were air.
Here you can see what happens if you turn the grass into illusory grass. Thankfully, the dirt underneath is real. Imagine what would happen if you covered a pit trap with illusory grass.
Wand of Teleportation: This wand teleports you to where-ever you happen to be looking when you release the wand. Unlike using an ender pearl, you do not suffer damage from teleporting. Be careful when trying to teleport up tall cliffs.
Wand of Storms: This theatrical wand causes lightning to strike the ground around you. You have no control over where the lightning lands, so be careful.
Wand of Magic Missiles: This wand rapidly shoots magical arrows.
Wand of Fireballs: Does exactly what you think it does.
Wand of Lightning: Shoots lightning at your foes like a Sith Emperor. The max range is 16 blocks and any creepers you hit will be turbocharged.
Wand of Death: This is a deadly wand that summons and launches wither skulls. A direct hit will kill a creeper in one shot.
Wand Repair: Wands can be repaired on an anvil with gold ingots. The more powerful wands require more XP levels to repair.