Siddhartha Gautama famously abandoned his princely status and became a philosopher seeking Enlightenment. We call him Buddha now. He was born into the Shakya Clan, and his father was the chieftain. Siddhartha was groomed and pampered for 29 years to be the next leader. Then he decided to venture out his palace and meet his subjects. There he was exposed to the full extent of human suffering, which he had never seen or experienced. He snuck out of the palace and became a beggar, living the life of an ascetic.

There's also the legend of Awilda, a princess of Scandinavia. Her father had arranged for her marriage to a Danish prince. She refused, and ran away with a group of female friends.

Closer to modern times, there's Peter Kropotkin, a prince of the Rurik Dynasty of Russia, although they had lost control of it to the Romanovs centuries earlier. He dropped the prince title and eventually founded Anarchist Communism. He was given a republican education, and decided to drop his title at the age of 12.

In the height of the Nika riots, Hypatius, along with his brother Pompeius and Probus (another nephew of Anastasius), were among the prime candidates for the Imperial Throne. As it became clear that the mob wanted a new Emperor, Probus fled the city and Hypatius and Pompeius took shelter in the Imperial Palace, along with Justinian and the rest of the Byzantine Senate. They did not wish to rebel against Justinian, fearing they would have too little popular support

The son of Peter the Great, Alexei Petrovich, kind of fits your question. While technically he eloped to Austria (The Hapsburg Emperor was his Brother-in-Law, Charles VI) out of fear of his fathers wrath for his indecisiveness; he saw governmental administration as a nuisance, and while intelligent, preferred to live a simpler life away from responsibility and and especially his father. He was the opposite to Peter in the sense that he preferred the old Russia, the Russia that was ruled by the orthodox church, and the distrust of all things foreign.

Peter gave him the ultimatum to either accept the new direction that he was leading Russia (thus securing the advancements of the Empire in the future) or to revoke his status as Tsarevich (Heir apparent) and become a monk in a monastery so that he would not be seen as a threat to the dynastic secession. Alexei, among others, saw himself unfit for life as an Autocrat, and his ambitions were primarily to live a simpler life in the country with his Finnish serf mistress Afrosinia, whom he wished to marry.

Eventually Alexei was was wooed back to St. Petersburg on the promise that Peter would unconditionally pardon him for his actions, so long as he returned home immediately, and of his own volition. When it came to the realization that while in exile, Alexei had made clear in many letters that he would join in a rebellion against Peter, if offered, as the rallying figurehead, a tribunal of Peters ministers found him guilty of numerous actions in relation to treason. He was sentenced to death, but died from the torture applied to him to force his confession.

Ultimately, Alexei had very little in common with his ambitious father, and was seen as a disappointment. You could argue that he was running away not from the crown, but his fathers wrath, but in the end Alexei's disdain for anything governmental related showed his lack of enthusiasm to rule, thus being a primary reason in his "running away from home".

Sorry, we don't allow throughout history questions. These tend to produce threads which are collections of trivia, not the in-depth discussions about a particular topic we're looking for. If you have a specific question about a historical event or period or person, please feel free to re-compose your question and submit it again.