I have never been close and am curious.

The Empire has to neglect Coruscant to do it: it's to force them to protect the core. I pulled it off in a game where they neglected it, but I still had to fight and take down a Super Star Destroyer.

You pull it off by first preventing the Empire from quickly reinforcing it: sabotage the other adjacent Core Worlds they have occupied. For me that was only Corellia, and sabotaging Corellia isn't suspicious. You then dump a load of ships on an adjacent world and hit it hard. As long as you win one theater you'll stop them directly reinforcing it and you should have enough time before they can fly reinforcements in from the Mid Rim to secure it.

I almost got it in my first game.

He found my base and was collecting his forces to hit me. He didn't know that objective existed and I could have forced and endgame with it. I unfortunately could not muster enough strength to get all the way there and lost on a last ditch roll a planet short.

You need a sort of perfect storm situation. Either a subjugated system next to Coruscant while both that system and Coruscant is lightly defended. Use an uprising card to take the subjugated system when you have a decent deployment coming and launch an attack on Coruscant the following turn. They will likely see this coming and try to reinforce Coruscant though. But even if you can't take Coruscant, their reaction to it can buy you time and actions.

Keep in mind that you can turn loyal systems to subjugated systems, or even neutral (if not defended), which can lead to some interesting moves.

It's another reason that draining Imps of ground forces is valuable. Secure ground producing systems, sabotage, or force subjugation on their ground force producing systems, and they have to spread their defenses thin.

Look at doing card combos.

Independent operation - Turn a planet neutral, then do this to send the ground units fleeing.

Hidden fleet to do the same thing to an undefended system.

Start the Evac to move an assault group to an undefended system during the assignment phase.

Plan the assault to wipe out space defenses.

Hit and Run to wipe out some defenses.

Get the Imp player desperate enough and he may only leave a couple stormtroopers and a couple ties behind thinking he'll spot any assault force moving to the core, or will have time to react to a hidden fleet 2 or 3 spaces away. Then hit him with Hit and Run and Plan the Assault in the same turn (with a double leader on the first one you play) and bam, you wiped out the defenders and can start raking in the objectives.

Lets say Alderaan or Corellia are lightly defended with ground units. Turn them neutral, Hit and run, uprising, or Independent action to clear the system. Hidden fleet to bring in the assault force. Deploy some units at base during refresh. Plan the assault to launch initial attack, or just use the forces you have if Coruscant is lightly defended.

Doing a sabotage to the other system would be a good idea also.

Does it take a lot of effort? A lot of moves? A lot of coordination? YES! But 2 objective points per round is HUGE. You could actually be in pretty bad shape around turn 6 with the end game marker still on 12, and pull off a win in 2 rounds this way if they can't take it back. If they turn back to retake the system, you force them to spend actions and turns on that effort instead of finding/killing the base.

I haven't seen anyone pull it off yet, but I have seen a couple games where the core worlds are basically undefended. I myself had a game where my forces were spread so thin that no system had more than 1 stormtrooper defending it, including Coruscant. I won the game, but I was set up for a potentially devastate retaliation if the rebel player had the right cards.

I'd honestly think about reserving those cards for just that sort of combo if I was the rebel player.

In my games against the empire, they tend to neglect the core worlds making it easy to get to the heart of the empire.

Sad thing is when they see me doing this, they play their mission to take my objective card away from me.

Sneaky Empire Hobbitses....

Did it with Lead the Assault with Han and then hidden fleet into alderaan

we played advanced game allowing different systems to start in which helped. I did it in the late game, as the empire stretched out to find the base, i sneaked in through ord mantell. i only got one round of points. hidden fleet helped clear the way.

Just had my first game with my buddies who have played a few

My buddy didn't have any troops near corsucant, and I wasn't close to it with any if my Rebels.

Used a mission card to deploy up to 4 troops to any system.

Had pic of Han on the card.

Was close game, but won as Rebels