UPDATE (9/18/2012): It appears that Boeign has delivered another 787 to Air India yesterday. Flightaware is showing a delivery flight from Charleston to Frankfurt for AI 170 leaving at 3PM EST.
Media reports has British Airways receiving it's first 787 in May 2013 while LOT Polish Airlines is expecting its first 787 on November 15, 2012.
Lastly, I'm hearing Qatar Airways should be taking delivery of their first 787 sometime around Thursday September 18 and fly away the following day for arrival on Saturday in Doha. The aircraft that will be delivered will be ZA461 (LN 58, A7-BCB). This information has not been confirmed.