Thorin I
Thorin I was king of Durin's Folk from 2190-2289 of the Third Age. He led great number of the dwarves of Erebor into the Grey Mountains. He was the son of Thráin I
Thorin II
Thorin II is better known as Thorin Oakenshield, from when he fought in the Battle of Azanulbizar and used an oak tree branch as a shield. After the battle he followed his father Thráin II to Ered Luin, where he became the king of Durin's Folk after the disappearance of his father. He increased the power of his people until in 2941 he joined with Gandalf to reclaim the kingdom of Erebor from the dragon Smaug. The quest was successful, but Thorin himself died in the Battle of the Five Armies that ensued.
Thorin III
Thorin III is the last king of Durin's Folk in Erebor that we know of. During his reign, he greatly increased the wealth and power of the dwarves of Erebor and allied with the men of Dale who dwelled nearby. He was known as Stonehelm.