Having the same Problem.
In details:
- If i try to send a new mail, i got the "incorrect username or password"-popup on my iphone
- if i go to settings and re-enter the password, the verifying succeeds (there are 3 check marks)
- if i send an email to the address "foo@me.com" from another account, i get response with an user-unknown-message
- I can login via icloud.com and send mails.
- I can sync contacts, calendar (but no mail)
- I do not had a me.com/mac.com (mobileme) account before i activated icloud (the iphone asked me for a new me.com-address and i entered a new one (e.g. the foo@me.com))
- my apple-id is not the same like the me.com address (it is an email-address from a private domain)
- the me.com - address is marked as verified, if i open the apple-id-settings via the apple-site.
i also tryed several things (restart, delete and recreate the icloud-account etc.) but nothing worked for me
i hope that this is only a temporary issue... maybe it's due to the current overload-situation...