is the falcon the ship in starwars that takes the most hits and survives them?

In a single battle, probably not. Over the course of her career, definitely.

I mean if you watch the movies. even the SSD seems to just get hit by some a-wings and then rammed and its dead. I guess if you count the first deathstar when they strafe it for no apparent reason it might win or come closee

Remember that when the A-Wing rammed the SSD, it hit her bridge, with all the controls, and then Executor crashed into the DSII as a result.

I think the strafing was to knock out some of the AA guns, and keep the focus away from the trench runs.

Depends on how much of the plot said ship is involved in.

I mean if you watch the movies. even the SSD seems to just get hit by some a-wings and then rammed and its dead. I guess if you count the first deathstar when they strafe it for no apparent reason it might win or come closee

The Rebel fleet was also firing on the Star Destroyers, it wasn't just a single A-wing. Just saying, maybe some credit to Akbar and his squid boys.

The fleet barrage brought down the shields, then two A-Wings took out the bridge deflector shield projectors, leaving any recharging impossible, then Crynyd crashed into the bridge, and the ship was set off course and crashed before they could regain control from an auxiliary bridge (and also, the Emperor had died at that point, which removed his creepy Dark Side motivation of the fleet).

^ Can't tell if trolling or not, but I'll go on record saying I disagree with the Emperor comment. I don't think there's any such thing as "Dark Side motivation" in this situation, whatever that's supposed to mean. Nobody knew he was dead, and the Empire isn't synonymous with the "Dark Side" of the force. The Sith and Empire were simply allies (the leader of course being members of both of these groups), just as the Jedi and Rebels were.

Well, it's now relegated to "Legends" canonicity status, but in the Thrawn Trilogy, Grand Admiral Thrawn's analysis of the loss at Endor was that the Emperor liked to use what we'd probably call "Battle Meditation" (see the Knights of the Old Republic games for some idea of what that does) to motivate his fleet, and his death removed that extra edge from the Imperial Fleet.