http://nyc787.blogspot.com/All things 787. They have two charts that are updated every day on the production status and flight testing of the 787 and a flight testing chart for the 747-8.
The next 787 out of the FAL will be L/n 40 for JAL.
Now i know as of yesterday, Boeing has shifted some aircraft around because it was announced that the first set of wings arrived in Charleston for the first 787 there. But they said it was for a Ethiopian Aircraft, but previously the first aircraft built there was supposed to be for United. They also said the first five built there would be for Ethiopian. So i don’t know if they shifted United's aircraft to a later date, or its now being built in Seattle. But for the most part, that is the most accurate list available for production lists.
I know from what has all been said through news releases and from reading posts on a.net from people who are involved with the program, for the 787 there were four main issues that had/have to be dealt with for the 787 that were still issues during testing.
*Side-Body Join- only the first 15 aircraft required it. L/n 15 is currently having it done (according to A.T.787)
*Horizontal stabilizer- I believe all inspections have been completed, but i cant find any info on it. All Horizontal stabilizers that arrived since mid-late last year have been to production standard.
*Electrical panel- fixed with a hardware and software change
*Landing gear- there was some early issues with the landing gear doors or actuators. The second 787 to fly landed with the doors fully open on its first flight. This also was not the only occurrence i saw, but i haven’t seen it happen since early in the test program.
Otherwise, i haven’t heard of any flaws or issues with the design like the 747-8 has.
For the 747, there were just three main design issues that have already been solved and the corrections have already been certified for use. So they have already started installing all the fixes on all the currently completed aircraft. Boeing is predicting 20-25 747-8's to be delivered this year as well, so it sounds like they are all pretty close to being in final production standard. They haven’t announced how far along they are with certification, but they have to be close. I’m predicting they deliver the first to cargolux within a month of the first 787.
* Buffet when gear extended and flaps at 30- changed gear door geometry and position when the gear is extended
* flutter during certain conditions- fixed by using the outer ailerons to dampen the flutter
* Oscillation in the inner ailerons- fixed by installing a larger pump to those ailerons
* The 747-8 is also having issues with its flight management computer, however it won’t delay delivery as even without part that is acting up, the computer still has all the capabilities that the 747-400's has. I believe i read that it is the RNAV acting up.