I just rewatched The Day of the Doctor for the first time in several weeks and for the first time after having a major nostalgia trip back to the Tennant era (which included finding copies of Doctor Who Confidential and some of the podcast commentaries- damn, that era was good to fans!).
While there are definitely big giant plot holes in the actual plot of the special, there was one little mistake that keeps bugging the hell out of me:
That picture of Rose is from Turn Left. It takes place in an alternate timeline and therefore didn't really happen in this U.N.I.T.'s reality.
I guess it can be reasoned away that Rose was working with U.N.I.T. in multiple realities, but I don't know if it makes sense for her to do so in timelines where the Doctor was alive. She was working with U.N.I.T. because there was no Doctor to find and she needed their help harnessing the Tardis's powers.
They should've used a picture from The Christmas Invasion, if they wanted to use a picture from a U.N.I.T. episode. Bah.