We spoke of the creation of planetary systems, but there are other forces that will overpower the relatively local phenomena.
Most galaxies are rushing away from each other, with a few exceptions of gravitationally bound systems. One of the latter is our nearest neighbor, the Andromeda galaxy. In about two billion years, while the sun still has not entered its red giant phase, Andromeda will do its first close pass. There will be few, if any, direct star collisions -- but the gravity disturbances will disrupt planetary systems, including ours. In the end, both galaxies will lose all their intergalactic dust and settle into elliptical shape.
A breathtaking series of pictures by James Gitlin shows how this will play out in our skies, although there won't be any observers left (or if there are, they'd better have fast spaceships and/or stable wormhole generation technology). Here is one image, and a link, which also has a video of the merger: Galactic collisions
. The animation and more images are halfway down the page.
Image by James Gitlin, of the Space Telescope Science Institute