What three science fiction films pit Han Solo and a handful of rebels against DarthVader the evil forces Empire in desperate struggle for galactic supremacy?

You're likely thinking of the original Star Wars trilogy, which features Han Solo and the Rebel Alliance facing off against Darth Vader and the Galactic Empire:

1. Star Wars: Episode IV - A New Hope (1977): This film introduces us to Han Solo, Luke Skywalker, Princess Leia, and the Rebel Alliance. They band together to steal the Death Star plans and destroy the Empire's ultimate weapon.

2. Star Wars: Episode V - The Empire Strikes Back (1980): The Rebel Alliance is on the run from the Empire, and Han Solo faces a difficult choice that will change his life forever. Darth Vader's presence is felt throughout the film as he hunts down the rebels.

3. Star Wars: Episode VI - Return of the Jedi (1983): The Rebel Alliance prepares for a final showdown with the Empire, and Han Solo must overcome his inner demons to help them succeed. This film concludes the original trilogy and sees the final confrontation between the heroes and Darth Vader.

While other Star Wars films feature Han Solo and Darth Vader, these three films are the ones that focus on their core conflict and the struggle for galactic supremacy.