Charm and charisma refer to an attractive power or effect certain individuals or things have on others. Charm is a special but easily found quality that makes a person attractive and pleasant to be around, whether from physical beauty or personality: The host’s charm made each guest feel like the most important person at the party. Charm is also used of things, especially rustic, cozy, or old-fashioned things (the charm of a country cottage). Charisma is a compelling personal or spiritual power, a rare “star quality” which attracts, fascinates, even mesmerizes, and is capable of influencing a large number of people. Charisma is frequently associated with screen actors and political and religious figures, for whom a commanding presence is a job requirement.
Beg and implore refer to asking someone for something (aid, mercy, pardon) with urgency or in desperation. The essential element of beg is asking for something one is not owed by the one asked, from a position of powerlessness. We say, “Don’t make me beg,” but not “Don’t make me implore.” With implore, the focus is on the emotion and manner of expression with which someone begs. A person may implore with their eyes. Implore suggests begging with great urgency, in an affecting, piteous way. (The Latin word it derives from means "to plead tearfully.") Beg can convey a wide range of intensity–it can have the mere formality of “I beg your pardon,” the humility and earnestness of someone begging for alms, or the fervent emotion of implore.
Prestige is status or influence a person or institution possesses in the eyes of others by virtue of success, wealth, or position (professional prestige, international prestige). The sources and qualities of cachet can be less tangible–hence, perhaps, the common phrase “has a certain cachet,” where “certain” means “definite but not specified.” Cachet is found most often in the context of popular culture, consumer and marketing culture, art, and fashion. Associations, especially with celebrity names, lend things cachet, and the associations often attract and impress a particular demographic or other group (a label carrying cachet among Spanish wine lovers, a director whose use of indy music in his films has earned him cachet).