Kazarp (DavidG) vs. Stone Mill:
It is never a good thing to have a big fleet of enemy ships pounding your homeworld.    
  
DavidG certainly had me in a very bad position; annoyingly used mines (or the threat of mines) against me and continued to control key positions.  He expolited the fact I was very late in researching mines 2; it is tough to counterattack when you don't have enough sweepers. 
So I pull back the fleet guarding the warp point in my home system for training.  Almost on cue, he came through soon after with a fat fleet and cleared my minefield.    

   The sad thing was that I could not readily counter attack and risk being baited into a fresh minefield.  I knew it would take him at least 2 turns to reach the homeworld, so I patiently waited, knowing he could have his way with all the planets in the system.
On the second turn he fragged a great planet, and moved into striking range.  I guessed that he could not resist gunning for my homeworld; so I moved my fleet there for defense.
At this point in the game, things looked grim.   

   But I guessed right   

  (for once); my fleet routed his ships over my homeworld.  My home planet took a pounding, but survived.  A painful result was that he destroyed my Space Port, which sent my economy crashing.  I halted my empire's production for a few turns to build a new one; all the minesweepers needed for a counterattack sat in queue and waited.  Unfortunately, this gave him valuable turns to generate a defense fleet.
I finally got things together and plowed through.  He generated a surprisingly big fleet at the warp point, but they were no match.
What a relief.  I was really sweating.
As it stands now, a bell is tolling in his home system.  And do not ask for whom the bell tolls...