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Diablo III: Challenge rift 68 - Americas:

https://www.youtube.com/watch?v=45-DcwUATAI

Diablo III: Challenge rift 68 - Europe:

https://www.youtube.com/watch?v=zSkloWa3q1E

Both are very similar, shouldn't be to hard.

Diablo III: Challenge rift 67 - Americas:

https://www.youtube.com/watch?v=3c17x6Rm_m4

Diablo III: Challenge rift 67 - Europe:

https://www.youtube.com/watch?v=WMLxA-o-O6o

Both are easy and done on first try.

EU and Asia are still Week 65 CR in the post - you need to update to the Barbarian builds of week 66. Thx

Diablo III: Challenge rift 66 - Americas:

https://www.youtube.com/watch?v=LPDbK6K2iuA

Diablo III: Challenge rift 66 - Europe:

https://www.youtube.com/watch?v=3dnWqArOmk8

Both are easy, cleared on first try - could have used Wrath of the Berserker more often (for both, EU and NA), was kinda keeping it around for Rift Guardian. Get your mats and shards easy

Diablo III: Challenge rift 65 - Americas:

https://www.youtube.com/watch?v=qnml0oV8u70

Diablo III: Challenge rift 65 - Europe:

https://www.youtube.com/watch?v=pS4SQDutk_I

I'm sorry, but if I'm correct this weeks CR should be 65, not 64.

Diablo III: Challenge rift 64 - Europe:

https://www.youtube.com/watch?v=d6EwfubhK4g

Diablo III: Challenge rift 64 - Americas:

https://www.youtube.com/watch?v=bQSpZhMxRIc

EU one is easy, NA this time around a lot harder. Good luck

Diablo III: Challenge rift 63 - Americas:

https://www.youtube.com/watch?v=ieeqqO86HiA

Diablo III: Challenge rift 63 - Europe:

https://www.youtube.com/watch?v=LoHUTg_ImjQ

Both easy, done on first try. And yes, I played the EU one badly.

Diablo III: Challenge rift 62 - Americas

https://www.youtube.com/watch?v=rE_Snqhd_Wg

Diablo III: Challenge rift 62 - Europe

https://www.youtube.com/watch?v=PaRplfTjpAk

More detailed Pchild guide for Americas one:
Diablo 3 - Challenge Rift #62 - Map and Elite Locations
http://www.youtube.com/watch?v=VO8rNrZNfq8

Diablo III: Challenge rift 60 - Americas:

https://www.youtube.com/watch?v=Qx2WZ-gMkrA

Easy Vyr set-up, shouldn't have issues.

Diablo III: Challenge rift 60 - Europe:

https://www.youtube.com/watch?v=HVLURFqCV78

Strange Firebird Meteor build - try to Arcane Torrent at the same time when you do meteors - as it will buff meteor damage, too.

Diablo III: Challenge rift 58 - Americas:

https://www.youtube.com/watch?v=uxGIV7JLjmo

Diablo III: Challenge rift 58 - Europe:

https://www.youtube.com/watch?v=rhmr4yz_43A

Interestingly different this time around, but not to hard.

And, Pchild guide for America's if you need more details:

Diablo 3 - Challenge Rift #58 - Video Guide with Map and Elite Locations!
Necro This week!
http://www.youtube.com/watch?v=ytf2ErhxymU

Diablo III: Challenge rift 57 - Americas:

https://www.youtube.com/watch?v=KDgFTr0ehW8

Diablo III: Challenge rift 57 - Europe:

https://www.youtube.com/watch?v=bGbb742uRWs

Both of the rifts are some awkward LoN Multishot combinations. Needed multiple tries to do them both, mainly due to pathing. If you follow the path I took you should finish them on time but probably not break a record.

Good luck.

EDIT:

Here also the Americas guide from PChild, if you need more detailed descriptions:

https://www.youtube.com/watch?v=Sbxcat2yqE8

Looking at this, it seems they plan something big for the franchise.

Quote from Spewnami»

Hmmm I just went around spamming punishment. What GR level is this?

NA is GR45, EU is GR50

Diablo III: Challenge rift 56 - Americas:

https://www.youtube.com/watch?v=V98WsYQR_I8

Diablo III: Challenge rift 56 - Europe:

https://www.youtube.com/watch?v=tv0nrkAVrV8

Both are easy, done on first tries.