The speed of light is simply too slow for Humans, as we know them, to have any meaningful two-way conversation between stars. Nothing can go faster than light, and light cannot be sped up. The only reasonable way to deal with this reality is for Humans to slow down.
If you could live your life -- thought, motion, biochemistry -- a trillion times slower, then the transmission time from servers up to a thousand light-years away would feel like 31.5 milliseconds.
One way to accomplish this would be to evolve slower Humans. I expect this to take some time so the sooner the project is funded, the better. Actually I think my wife's family is already working on this.
Another possible technique would be to spend a lot of time in suspended animation. If you could press left-left-up-a-b-x and then fall asleep for 800 years, most MMOs wouldn't be so bad. Of course the servers would have to be similarly slow but I think Mythic Entertainment has got that covered.
The method most likely to meet with success would be to upload ourselves to massively powerful simulators and then turn off the turbo switches. Although doable, such slow simulation would require a disruptive paradigm shift, as Patch Tuesday would have to be converted to Patch Millennium.
Of course, whatever method is used, either the entire species would have to agree, or the slow folk would have to protect themselves from the hasty folk. That is, a big problem would be renegade Humans who want to cheat and get on with ruining the Earth, perhaps by living only a hundred billion times slower.
However, living slow should require much less energy than living fast. Slow folk will probably not need to live in a high-energy environment like on a planet, or even near a star. I picture a race of glacially paced creatures forever drifting through deep space, spreading everywhere throughout the galaxy, singing their whalesong of Kardashian diets and LOLcats over a light speed Ethernet.
Hasty folk could be left to burn themselves out by consuming whatever planets and stars they can reach during their pitiful brief lives.
There might even be time before the heat death of the universe to finish rolling out IPv6.