I have had the same thing happen as many of the most recent posters here.
At 1:33 am PDT on October 10th, I received an email that someone had signed in to imessage using my account on an iMac 27 named "iMac14,2"
I immediately changed my password, but exactly 24 hours later, there were 37 messages sent from my phone to Chinese numbers. The very first one was only 3 number 1s sent separately (as a test?) to the following number: +63 949 577 1323. The other 36 were all to different numbers and included emoticons and url links.
While on Reddit, I found a thread in which many other people quote the same number to which the "1"s messages were sent, which seem to have been a test.
We have a phone number, is there anywhere we can report this?? It seems like it could help find whoever's using our phones/IDs.
Just a thought.