Expanding galaxies? (not universe, since the game is played on only one galaxy.)
I never said the galaxy itself was expanding but more the map that you know of, as you conquer the "known" galaxy you realize there is much more galaxy out there that you haven't even begun to explore or map, look the Race A, and Race B, are just outside our space die.... Now that I conquered Race A and Race B, I would like my game to continue, look once again there is still much more galaxy out there that I haven't explored bring on Race C, Race D, and Race E.... and so on....
Now like some people pointed out, you would have to give the new races empires with a technology level similar to yours to make it feasible and not be so much a joke...
Another option, look you find a new galaxy far away, let's travel there, it will only take 200 weeks to get there, that gives the other empires time to build up their technology and planets while you take your fleet and travel there, that main good thing is you wouldn't have to launch your fleet all at once but launch 30 ships on week 1, launch 20 more on week 4, and so on....