Superman. Every hero in comic books, at one point or another, has been compared specifically to Superman, either in how he's similar or how he's different. Even in the case of antiheroes and indy comics, as more often than not, the first thing they'll do is take a swipe at the Superman mythos. The entire genre of superhero comics starts with him. And that's why Superman will always be the greatest, most iconic representation of a superhero.
Elizabeth Swann-Turner and Will Turner are the Pirates of the Caribbean version of this. Used loosely, as heroes aren't as pure in her world.
In Star Wars, Luke Skywalker fits this trope so well that Psychology textbooks show a picture of him in reference to the archetype of a hero. In parts of the Star Wars Expanded Universe, variations on "I won't leave you here. I have to save you" are his catchphrase.
John McClane, of Die Hard, serves as a deconstruction; his dedication to saving the day and Chronic Hero Syndrome destroy his marriage and strain his relationship with his kids, pushing him into cynicism. He only plays the part of the hero because there's no one else to do it.
Frodo Baggins and Samwise Gamgee both qualify for the role of The Hero in regards to the protagonist swept into adventure, and Tolkien seems to favor Sam for the part, as his journey is closest to that of Bilbo's in The Hobbit.
In the X-Wing Series books, there are always two to three primary protagonists and viewpoint characters. One or two, depending on whether this book is part of Michael Stackpole's run or an Aaron Allston novel - and whichAaron Allston book - is the suboordinate who experiences more Character Development, goes through personal revelations and a personal plotline, gets beat up, and is generally a good person but not quite "pure", often having some dark guilt, flaw, or secret. The other primary protagonist is always Wedge Antilles, who leads, bounces back from setbacks, has a plotline that isn't really all that personal, and is rarely wrong.
'Starfighters of Adumar, which is intensely Wedge-centered and has no other viewpoint characters, is the exception, and although Wedge is severely heroic and an Ace Pilot there too, he's not The Hero to the same extent.
Discworld usually subverts or averts this trope, often favoring the Anti-Hero instead. Carrot Ironfoundersson of the City Watch plays it straight, but he's not the central protagonist.
In Percy Jackson and the Olympians, we're lead to believe that Percy is the hero of the series. The hero is not who we thought he was. Luke Castellan takes up that role instead. However Percy is still The Hero of the series; he's just not the hero of the prophecy.
The A-Team: Col. John "Hannibal" Smith, though like Mal Reynolds, he's also kind of a Lovable Rogue as well as a Trickster. Notable for being most likely the only person in this trope to be over 50 years old.
Noah's Arc: Though not an action-based series, Noah fits in that he has virtually all the non-combat qualities listed above. He's the protagonist, is morally superior (frequently choosing Honor Before Reason), and compared to the rest of the group has a more balanced personality. He's the one who holds the group together, frequently reminding everyone how much they care about each other, and is almost always right in situations where he provides guidance/leadership. Even the wearing red/blue somewhat fits, as there are several scenes where he wears red specifically to make him stand out from the rest of the cast. He's also invariably front and center in any promotional photos and more often than not in scenes where the whole main cast is together.
However, after Lucas leaves in Season 6, Nathan becomes the hero of One Tree Hill.
Revolution: Charlotte "Charlie" Matheson. However, she is too young and inexperienced to be The Leader.
Roswell: Max Evans fits this to a T. His teammates frequently Lampshades it regularly asking him "What do we do now, Max?" even if sometimes they openly criticize him for his "passively watching" instead of taking action sooner, something that doesn't change when he's actually declared the king of his planet.
A partial exception is Tommy, who is originally the Sixth Ranger in the first season, but in the middle of the second season, becomes the leader as the White Ranger. He then stays on as leader in Power Rangers Zeo, but becomes the red ranger then.
Cale'Anon Vatay of Looking for Group is a textbook example. He starts the comic as a "lone and righteous wolf," but quickly accrues of group of fellow adventurers, including the warlock Richard as his Lancer, whom he develops a close - if somewhat dysfunctional - relationship with. He is not the most intelligent of the bunch, clearly failing to recognize evil early on, but often displays quick thinking and good strategizing ability, especially after taking numerous levels in badass. (He is definitely the newest to adventuring of the main characters, having started out the comic with a healthy dose of Wide-Eyed Idealist.) Considering the actions of some of his group members, he can also be seen as an Only Sane Man. He fights with two swords and eventually shacks up with the resident Action Girl.
Neil Sinclair of Survival of the Fittest is arguably the hero of the series. He might not always make the right calls, but he's about the only character who retains his moral high ground throughout the game, and strives ceaselessly to save as many people as possible. He has the distinction of being the only character ever to form an effectual pro-escape group. Which has a good chance to have succeeded, cliffhanger and Pyrrhic Victory notwithstanding; if nothing else, it's the closest the students have ever come to beating the system.