I gotta agree with Amish here (not that I ever disagreed with him)..
Bombers are awesome against SBs. Issues are flak and fighter and repair structures around the SB. If this is happening you need to look at counters.Dont be shy to repair them every once in a while, a whole fleet of chewed up bombers doesnt help. Recall them, repair them, reinforce them, then send em out in a whole wave to take out one structure, then pull them back.
Best advice if you hit a heavily defended SB is too look at locking down that system without getting bogged down. Take out the factories, stop him producing units if possible. Take out the repair bays, and ALWAYS be on the look out for fabricators, if you can stop your enemy building and reinforcing you can begin to chew away at the defences.
Be carefull though of spending too much time worrying about the SB system only, look for other ways around the SB, planet. If its a players HW and thier last planet, as long as you can effectively lock them in, and have second fleet, just keep them stagnate.
As advent, you can use the anti-structure (adjudicator) unit, but keep it in the middle of your fleet and keep guardians around to stop any fighters targeting this ship alone.
Vasari SB you need to micro around them, but again, bombers rule.
ADVENT and TEC SB - Get a vasari player to build and SB in enemy system. SLOWLY, walk it towards the enemy SB + defences and let it start to take out the structures around the SB first whilst upgrading the SB. Also, keep your fleet near to the SB. IF you can hit SB from both sides it helps too, as it means only one part of your attack is recieving direct fire.
But Always remember, you dont have to kill it, if you can go around it, or just take out the planet. Taking out mil labs too is always good as it limits the types of upgrades the SB can get.
Z axis I have had mixed results with, although some have said that there are loopholes in structures firing up and down through the Z axis. I havent worked out the glitch.....yet 