As far as I am aware only a few places in the galaxy actually factor in the 1286 years between now and 3305.
Those places are:
Sol - with Earth, Mars and Pluto all taking on forms based on the passage of nearly 1300 years - rising sea levels on Earth, the terraforming of Mars, and the sharing of dust between Pluto and Charon finally obscuring the current heart shaped formation on Pluto that it created. Also the positions of the Voyager probes and the New Horizons probe are indeed where they should be all those years in the future (problematic for Voyager 1, which will most definitely be in interstellar space by then, but the game still treats that distance as within Sol).
Eagle Nebula - No pillars of creation... can't remember whether that's canon or head-canon, though.
Other than that, the galaxy is pretty much as it is now.