The event that had significant historical implications contributing to the storming of the Bastille was the Tennis Court Oath. This oath was taken on June 20, 1789, by members of the Third Estate, who vowed not to disband until a new constitution was established. This act of defiance against King Louis XVI's authority signified the rising tensions between the monarchy and the revolutionaries.
While Louis XVI's attempt to flee in 1791 (not directly related to the storming of the Bastille, which occurred on July 14, 1789) further inflamed revolutionary sentiments, his flight was not a direct cause of the Bastille's storming.
The Reign of Terror and Napoleon's rise were events that occurred later in the French Revolution and were not direct contributors to the storming of the Bastille. The storming of the Bastille itself was more about the immediate context of rising discontent among the populace due to economic hardship, social injustice, and the desire for political reform.
In summary, the Tennis Court Oath is the most relevant event that contributed to the storming of the Bastille.