Will we ever...

Will we ever reach:

1. Another planet?
2. Another star system?
3. Another galaxy?

With humans, of course.

1) Yes. Pending a global apocalypse cutting us short, if NASA or another government agency doesn't do it, some private enterprise will. No doubt about it. I'd stake my entire net worth on it happening in the next 50 years.

2) Probably. Again, assuming we don't annihilate ourselves first, we will eventually grow up as a species and realize we can't have all our eggs in one basket. We will eventually develop colonies around other stars around the galaxy. My hope would be that Earth would be treated with respect and cared for as long as the Sun shines (or maybe even longer if we can figure out how to move a planet to another star without disastrous global weather and such), but that sentiment will likely be washed away as obsolete. I would say sometime in the next 1000-2500 years we'll be permanently inhabiting multiple other solar systems.

3) Possibly, but without FTL travel, it would likely not happen until much much much later in our history. Probably not for a few million, if not billions of years. At that point, our decendants will look nothing like us and will have diversified into numerous other species. If we survive long enough, our decendants will reach other galaxies, but they will no longer be "human". This is, in fact, one of the arguments against other significant intelligent life in the nearby Universe. In the billions of years it took us to get to where we are today, a slightly earlier race would have had plenty of time to spread to practically every star in a galaxy and most of the galaxies in their home cluster. That much activity would be glaringly obvious if we were anywhere near it. There are no interesting aliens out there; we are the ancestors of all the Universe's future alien races. Narcissistic? Maybe, but that's what the evidence is suggesting.