I'll mention a couple of things missed so far
Check out the Snow White & 7 Dwarves statues to the right of the castle
I'm not sure when you're visiting, but if the new Nemo submarine ride in open, that should be your first thing ride. From there to Small World, then Matterhorn, Peter Pan and Mr Toad. After that take the back route to Haunted Mansion, POTC (get a fast pass for Indiana Jones) and Jungle Cruise before grabbing a Dole Whip and seeing the Tiki Birds (you can take the DW inside). From there Buzz and Autopia, Now back for a Corn Dog and a quiet stroll down Main Street to the Lincoln Theater for the 50th Anniversary Film (w/ Steve Martin & Donald). By now your FP should be good, get on the train and ride it all the way around and then to New Orleans Square (say hi to the dinosaurs for me) and head over the IJ.
At this point it will depend how much energy and time you have left. If you decide to try DCA, Monsters Inc, Animation & Alladin are must see's. I'd include Soarin' but you mentioned skipping the thrill rides.
Whatever you do, have fun and enjoy your visit.