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Just wanted to chime in and say that, yes, it appears to be back and working now.
 
same thing here !!!!

4s + TimeCapsule.

In my company, everything is working very well, but at home (with time capsule) not.
 
Go To:

Settings>Wi-Fi>("Your Network")> [the blue circle arrow icon]

Scroll to bottom of screen and set HTTP Proxy to Auto
 
Add me to group. Same on 4s haven't tried iPad 3 yet.

I've been using iOS 6 since beta 1 thought my time capsule needed to be rebooted until all my friends started sending me messages complaining about wifi not working since they updated to iOS 6. Wtf mate apple fix this asap!
 
Apple Care suggestion

Just talked to apple care, rep had no idea of issue, however talked to someone that said that a colleague told him that the backup/restore process was fixing the issue. I told him that it seemed that the issue was on their end, however I will try this and keep everyone posted on my results.

**EDIT**
Didn't do restore. Working before backup was complete
 
iPad was fine, rebooted to test, got locked out. Three minutes later, tried again, received a blank screen with 'success' message, clicked 'Done', and the network works again.
 
Here is what is going on. Ever since iOS 4(?) there has been a feature where if you connect to a WiFi network it will try to ping this site:http://www.apple.com/library/test/success.html

If it is a success then it lets you connect, if it is not a success the phone trys to bring up what would be a Login page for corporate wifi networks. Example, public access points that have a login page, etc.

It seems that some moron at Apple deleted the file located at http://www.apple.com/library/test/success.html and that is why it is not working.

This is not an iOS 6 issue but rather a problem with Apple's website.

Rebooting your phone will not help, nothing will help until Apple fixes the problem on their end.

Except my iPhone is working perfectly fine connecting to WSU's enterprise protected network... Right now, right next to my ios6 iPad 3. Only different, iPhone wasn't updates because I was too busy today...
 
I found the solution

Go into settings/reset/ and tap Reset Network Settings

When the ipad reboots it will work
 
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