I recently few on a 3-class 777 (with my wife) in seats 7AB which are just in front of the galley. Although there weren't too many people on board yet, when I went to put my suitcase us, the two compartments above our seats. I had to find alternate storage area further forward. Fortunately there were 4 empty seats in the forward cabin so there was still room, but had the plane been full, there might not have been place left for the late boarding passengers. There used to be some storage compartments between First & Business, but they were removed, obviously, to create more seating space. Now the crew has no place to put their bags except in OUR space, it seems. Not only is it a space problem, we also had to put up with crew members periodically accessing the space to retrieve belongings, etc. All in all, not a huge problem, but perhaps a good argument for sitting in the aft section. That also allows you to escape from the various noises and smells of the galley area.