Lucille, The Shoveler's Wife: (wiping away tears) My hero.
Mr. Furious' potential girlfriend telling him to "Just. Be. Roy." (It brings on a Heroic BSOD, since he doesn't know who Roy is anymore, but it's still touching.)
When The Shoveler's youngest son (holding a toy shovel of his own) says, "I believe in you, Daddy." This then turns into a CMOF when (offscreen) Lucille shouts "Roland! Do NOT encourage your father!"
The Blue Raja's mom not only accepting his superhero persona, but embracing it, asking him to do the accent, and offering him her best cutlery.
Violet: You know, I've always known you were special, Jeffrey. I just never realized how special...
Not to mention at the end when she sees him on TV. After he introduces himself to the reporter, he looks at the camera and lets out the most Adorkable "Hi, Mom!", before stopping himself and slipping back into the accent. And his mother has the proudest smile on her face.
When the Shoveler/ Eddie is saying goodbye to Lucille, who doesn't approve of Eddie being a wannabe superhero:
Lucille: I said I was going to leave you, Eddie. And I meant it.
Eddie: The city is in peril, Lucille. We're all they've got.
Lucille: (fed up with this superhero nonsense) Eddie, please don't start.
Eddie: I don't expect you to believe me. I just came by to tell you that I love you. Tell the kids I love them. Goodbye.
Lucille: Goodbye, Eddie. I won't be here when you come home.
Eddie: That's a risk I'm willing to take. Otherwise, there may not be a home to come back to.
(Lucille's eyebrows raises. Eddie spins his shovel and puts it in his holster. He puts his hat and salutes)
Eddie: Wish me luck.
(Eddie exits. Lucille thinks for a moment. Maybe it is for real)
When Mr. Furious returns to the group after storming off in a huff, he meets with the Shoveler and expresses how hurt and annoyed he was at gradually being excluded and having his contributions ignored in favour of the new members of the team, but can't quite bring himself to apologise for his own role in the rift, until he eventually starts pretending to be entering a Berserker Rage. At which point The Shoveler takes pity on him and nonchalantly responds with:
The Shoveler: (calmly) Hey Roy, I've just had an idea; why don't you come with us? Mr. Furious: (Calming down) Okay! Okay ... rage subsiding ... control returning ... anger fading. That was some quick thinking, Eddie. The Shoveler: Well, I wouldn't want anyone to get hurt.
Invisible Boy's power is the ability to become invisible when no one else is looking. The rest of the team understandably finds the claim rather dubious, but during the raid on Casanova's mansion, the kid actually proves himself by shutting off the laser eye.
When she's about to throw Carmine into the Psychofragulator to destroy it, the (assumedly) last thing The Bowler says to him is, "I love you, Dad!" Even though she's mostly snarked at him throughout the majority of the movie, it's clear that Carmine means the world to his daughter.