The Falcon was a piece of crap. It was just a really fast piece of crap. The Falcon is constantly breaking down and causes as many problems as it solves. It's fast and has some aftermarket military modifications. It's got a great pilot but it's not a particularly amazing ship.Yeah, you can't complain about the ship being 'good at everything' in Rebels and then not complain about the Falcon in the films.
What does the Falcon do in the first film? It gets caught in a tractor beam, people hide in secret compartments, it blows up a flight of TIE fighters that Tarkin wanted it to escape from, it swoops in and blasts some TIEs that are focused on killing Luke. You never really see its speed, for all you know that's just part of Solo's sales pitch to land a job.
In Empire the Falcon breaks down, it eludes some TIEs in an Asteroid field, it hides by parking on a Star Destroyer and then blends in with the trash, it limps to Cloud City, Lando uses the elevator.
In Jedi it is flown by the guy leading an attack run, it shoots some TIEs, Lando knocks the dish off.
And blews up the Death Star.
Erm, no.