I came up with this build for PvP and have been doing pretty well with it. It revolves around burst damage combos and precise timing.
Ray of Frost - Snow Blast: Good damage, easy to aim, snares, applies Cold Blooded passive.
Wave of Force - Impactful Wave: Good damage, knockback, two second stun, good in combos.
Teleport - Calamity: Good damage, mini knockback. Turns Teleport into a nice offensive weapon when used in conjunction with the other moves in the build. Use Teleport defensively when needed also, but this is a nice trick to have.
Explosive Blast - Obliterate: Good damage, combos well. Obliterate rune is needed in order to combo it with Calamity, or the knockback will take the target out of radius.
Storm Armor - Thunder Storm: Random but frequent damage to anybody within a screen distance. Nice spikes, adds nicely to combos. PvP staple, don't leave home without it.
Edit: Thanks DeadLegacy for the suggestion of Ice Armor + Jagged Ice for Barbs/Monks. Will start using this when necessary :)
Mirror Images - Duplicates: This one is a life saver. Good distraction, good for absorbing blows, clears DoTs (extra useful vs WD and Barb). Without this ability, prepare to die often to one Rend/Haunt/Impale. Use any rune, the DoT clear is the big reason to slot this.
Cold Blooded: Since Ray of Frost is my main attack, this is a nice passive. If I tag my target with Ray, I have 4 seconds to strike with one of the available combos for 20% more damage.
Illusionist: Resets cooldown on Teleport and Mirror Images almost every time you get touched. Don't think this one really needs much explaining. PvP essential passive.
Unstable Anomaly: A second chance at life coupled with a big knockback. It resets on death, so every time you respawn you have this in your pocket. Many fights are unwinnable without it. This is also a must have, no question about it.
The combo(s): The idea with this build is to hit people with as many attacks as you can without allowing them a response. To pull this off requires great timing and positioning. An example would be hitting Explosive Blast (1.5 seconds to detonate), wait one second, Teleport/Calamity onto your desired target. Explosive Blast and Calamity will go off just as you land and give you a couple potential big hits. Follow up with Wave of Force which hits fairly hard, knocks back and stuns, back into Ray of Frost with the space created by Wave. All of the abilities can kinda chain together and should be mixed and matched for the situation.
I had a long post written up before detailing my strategies for each class, but it didn't save and I really don't feel like re-writing the wall of text. If there are any PvP Wizards left, give the build a try and see what you think. I have surprised a lot of people with it so far.
Oh.. I do want to give a couple quick tips for fighting DH because these are the most useful. When they vanish, Storm Armor will still attempt to attack them. It won't damage, but you can use this to sort of track them and guess where they are going to appear. When a DH vanishes, I count to 2, start up Explosive Blast, wait one second, Teleport right where I think they are going to appear. I can't count the number of DH's I have vaporized right when they appear without allowing them the chance to re-vanish.
All criticisms/questions welcomed. Thanks for reading, happy killing