starts with Anakin as a Luke aged apprentice jedi just finishing his teachings with Yoda. He starts his field experience with Obi-Wan.
Palpatine is a senator from a planet under attack from a CAPABLE droid army with decent voices. Palpatine uses Darth Maul as leader of this army.
Anakin and Obi-Wan go to this planet with a security force to attack central droid control and shut it down. Anakin and Obi-Wan fight Darth Maul on control ship while security force on planet fights the droids with the help of a few Jedi. Darth Maul wounds Anakin and escapes into space aboard his Sith Infiltrator.
Anakin is quick to anger but always in control. Anakin meets female ruler of this planet at the end after saving the planet and is taken with her.
Droid army was made to force the senate to make a clone army to help fight the invasion.
Boba Fett is template for the clone army. We never see him without his armour or helmet on.
Anakin secretly has contact with queen and relation ship develops This is indicated and not shown except for the start. Clone troopers are ready. Palpatine is heralded a hero for the idea of an instant clone army to fight the droid army and is voted as Supreme Chancellor (or equivelent title)
Droid army control ships are back with Darth Maul in charge of a fleet of control ships that disperse to attack the republic on numerous fronts. The clone wars have begun.
Anakin and Obi-Wan have space battles versus fighters piloted by droids.
Assisted by Clone pilots and stormtroopers they fight their way to Darth Mauls main fleet.
A few clone troopers are characters that we begin to know (like the way we knew Veers, Piett, Ozzel etc).
Queen from the first film is captured. While imprisoned she is found to be pregnant.
Her capture is making Anakin lose control and Palpatine guides him in accessing his anger to make him more powerful to wipe out this droid army and get his girlfriend the queen back.
Anakin blames Obi-Wan for holding him back and not allowing his full anger to help him save his love (the queen).
Palpatine is still telling Anakin anger makes him more powerful with the force and soon he will be powerful enough to find his love (the queen). Final confrontation with Maul, Obi-Wan kills Maul while Anakin wanted him alive to find out where the queen is. Anakin is so angry at Obi-Wan for destroying any chance of finding his queen, fights Obi-Wan to the end. Obi-Wan beats him. Anakin changes to the dark side after Maul dies and during the fight with Obi-Wan. Anakin now hates the jedi. Down but not out Anakin is rescued from near death by Royal Guards. Vaders suit is seen but is not worn by Anakin.
Many Jedi are killed during the final fights with the droid army
A small number of planets that are being 'protected' by clone trooper armies are decimated in the need for materiels for war. Stormtroopers force civilians from their homes and execute governments for not helping the war effort. Pleas for help are ignored as the senate sees the need for war materials and allows the excessive manufacturing and waste of these worlds. The rebellion is born.
Stormtroopers are given orders to kill Jedi by Palpatine who is now commander and chief of clone army. Stormtroopers reluctantly kill Jedi for being labelled traitors by Palpatine for trying to protect the worlds destroyed by manufacturing war materials. Most obey orders but not all. A small number of Jedi escape and go into hiding.
Obi-Wan finds the queen who has two new born twins. Luke is taken for protection with Obi-Wan and Leia goes with her mother to Alderaan.
Darth Maul has hologram meetings with his master Palpatine throughout the 3 movies.
Anakin is only referred to as Darth Vader at the end of Episode 3 by Palpatine as he needs to be reborn as a Sith master to fulfil his destiny and make the Jedi pay for losing his queen. Anger clouds his judgement which is why he can't sense the queen or his children.
Some worlds that are seen and fought on that are harvested for war materials include Kashyyyk, Calamar and Sullust.
I'll try and flesh this out more but this is easier to understand and involves a minimum of politics.