The Lord of the Rings has a huge cast of characters, each with their own history and backstory, who play their part in the fight against Sauron.
In spite of their length, the movies can only show a small part of this, with the stories of many characters continuing, being expanded on by Tolkien in other parts of his huge mythology of Middle Earth.
In particular the stories of the major characters, the members of the Fellowship and those who have an important part in the destruction of the Ring have much more to be told. Following the War of the Ring there was still a great deal of work to be done in the rebuilding of Middle Earth after the devastation brought by Sauron, and many of them had an active role in this, helping to rid it of any remnants of his armies and clearing it of his evil presence. Because of the deeds they were responsible for, many of them were treated as heroes, being given titles and honours in appreciation.
Here's what happened to many of the major characters after The Lord of the Rings.
Faramir is one of the most unfortunate characters in The Lord of the Rings.
The son of Denethor, steward of Gondor, he was constantly put down by his father and considered inferior in comparison to his older brother Boromir. Captain of the Rangers of Ithilien during the War of the Ring, he proved himself to be a brave fighter and competent leader, being severely wounded while trying to retake Osgiliath.
After surviving being almost burned alive by Denethor he proved himself a more honourable Steward than his father, readily handing over power to Aragorn when he reclaimed the throne.
Because of his wounds, he wasn't able to take part in the Battle of the Morannon, remaining in Minas Tirith where he met Eowyn who was recovering from her fight with the Witch King. They married soon after.
After Aragorn's coronation he was made Prince of Ithilien and went to live there with Eowyn. He was ordered by the king to destroy Minas Morgul to get rid of any evil and remnants of Sauron's forces that still remained there. He died aged 120.