In the crossover episode with Batman: The Brave and the Bold, Bat-Mite uses his powers to allow Batman, Robin, Joker and Penguin to actually fight. Then he does the same to Shaggy and Scooby. Yes, after over 40 years of running, hiding, and cowering in corners, Shaggy and Scooby actually get to kick ass. And they do.
Scooby, every single time he goes all Cowardly Lion whenever Shaggy or his friends are in danger.
Matthew Lillard's spot-on portrayal of Shaggy in the 2002 film, which eventually got him cast as Shaggy's official voice actor, a role he's held since 2010.
The original series in 1969 was the debut of legendary voice actor Frank Welker, who was 23 at the time. Over 50 years later, not only has he become one of the most prolific and beloved voice actors of all time, he's still the voice of Fred to this very day. Only very rarely has anyone else ever played the character, even in parodies. The man is still playing a teenager in his 70s and doesn't sound his age one bit, not to mention having pulled double duty in the franchise's main cast since taking over the role of Scooby himself in 2002.
Speaking of voice actors, there's something to be said about Orlando Drummond, aka the first Brazilian voice of Scooby. He was already in his fifties when the show first aired on Brazil in 1972 and he was cast as Scoob, and continued to reprise the role in every.single.version, live-action films and redubs included, all the way to 2013, only stopping when Warner Br decided to replace the original cast, by which he was in his nineties.
Any time Shaggy and Scooby pull a fast one on the villain in their classic way, putting on a disguise and an act to fool them. Yes, it's hilarious and unrealistic, but face it: they stop being scared long enough to frequently come in close contact with the ghost, while improvising some sort of act that actually fools the ghost. Sometimes they don't even grab a disguise and they still fool them (or at least confuse them long enough for it to work).
Heck, any show where Shaggy or Daphne is in charge. They leave it to Fred and Velma when the two are around, but they are no slouches themselves, and never have been.
In 1991, Amiga made a video game...about Scrappygoing on a quest to save Shaggy and Scooby from kidnappers! The rest of the gang is mentioned, but Scrappy volunteered to go and retrieve them, showing just how far the pup has grown to be relied upon.
And his super strength is a mechanic with which you can punch the ENEMIES WITH!
What makes this so cool is that Scrappy is totally in his element (if the player can properly beat the game).