One of the main characters in The Colorless Land, Aithal, is a secret prince who’s been raised as a civilian for backup purposes, though with full knowledge of his status and heritage. He’s been trained for politics and diplomacy more than fighting, but he got military training in his youth along with everyone else in the country he lived in, so he can defend himself if he wants to. Mostly, though, he spends the plot searching for a way to free the rest of his royal family from the bad guys and later leading the fight against said villains. If anything he’s a royal who needs a flipping break.
That story also has the royal family of Firland, who also have active roles (the king and two of his children, anyway); but that part has yet to be published, so I’m not going into the details.
Oh right, and Evariel is technically an elvish prince too, though elvish kings are chosen by the people and he probably won’t inherit the kingdom. He starts out as a Chaotic Stupid™ teen but winds up bringing much-needed change to his people. Again, no details because spoilers but I’ll just say he won’t get dubbed “the Bold” for nothing.