While it was incredibly foolish and dangerous in the end, Nate staying in "The Bank Shot Job" because Sophie was still inside and could've been hurt.
Say it with me now: "HÄAGEN DAZS!" If you don't think that's cute, you have no soul.
Luka, who's looked utterly miserable (and with good reason) every single time he's appeared, sees the parents who've been trying so hard to adopt him, and smiles.
The entirety of "The Stork Job" is packed with heartwarming moments, but the Parker and Hardison scene in which Parker defends her position to not rescue the Serbian orphans, and we see her actually cry, is an absolute classic.
Parker: No. You put these kids in the system and odds are they're gonna... they're gonna turn out like me.
(a pause, then Hardison smiles)
Hardison: I like how you turned out.
In "The 12-Step Job", Hardison gets into a car and then Eliot almost immediately finds a bomb under the car, wired to a pressure sensitive trigger. To disarm it, Hardison needs to reboot the car's system at the same time Eliot yanks out some wires. Literally at the same time - if they happen more than a half-second apart the bomb goes off. The heartwarming part is that in a blink-and-you-miss-it frame, as he reaches for the wires Eliot's hands are shaking. This is the guy who is so damned stoic that we never get direct evidence of him being afraid.
Overlaps with Tear Jerker, but at the end of the first season, when the team's forced to split up, and they all stop as they're walking away, because no matter what they say, they don't want to go.
Don't forget, Eliot was the first one to stop.
Sophie has several of these with Widmark in "The Fairy Godparents Job".
It's a bit dark for a Heartwarming Moment, but in "The Future Job" when the fake psychic does a read on Parker and makes her run away crying, she asks if they can kill him and Eliot almost says yes.
Hardison himself says "He should be shot".
In addition, the fact that the team took the time to explain to her exactly how the fake psychic managed to read her using visual aids and slow motion enhancement. It wasn't about getting Parker's head together so they could get back on the con. It was about making her feel better. Even Sixth Ranger Tara helps.
Nate's words to the team at the end of "The Maltese Falcon Job," after having traded his freedom for theirs: "You guys are the most honorable people I have ever met in my life. You have become my family, my only family. I won't forget that."
Nate to Sterling and a bunch of FBI agents: " My name is Nate Ford and I'm a thief."
Nate and Sophie in "The Reunion Job" at the end, dancing together.
Also, Parker and Hardison's "floaty dance" at the end of the same episode.
When Parker's trapped in a high-security building during "The Inside Job". Her happiness when Hardison tells her that the entire team is there, as well as how quickly everyone banded together to save her were so adorable. Finally, she has a chance to escape, but doesn't, because people might get hurt if she doesn't stop the villain she's uncovered. "This is what I do now." And Eliot running into the building after her could make anyone smile.
Not to mention the reason why she's able to go back and defeat a security system that's already beaten her once. The Power of Friendship.
Nate: Parker, last time you went to the vault-
Parker: No, I couldn't, but I was alone then. I'm not alone now, OK? Hardison, just clear me a path to the vault, I know what I did wrong before, I can do it!
Parker and Archie's moment at the end. After the Give Me Back My Wallet, you can just see the "That's my girl" in his grin.
Hardison's violin solo in "The Scheherazade Job". Not just the music, but the fact that his teammates all stop in the middle of the job to listen. Parker even sheds a Single Tear.
During "The Double Blind Job" as Parker is jealous of the client being close to Hardison, Sophie finally convinces her to confess her feelings.
Parker:So the thing is, I think I might be having feelings, like weird weird feelings for....pretzels.
Hardison: Well, they are right here when you want them.
This is later repeated by Parker during "The Big Bang Job" with her stating that she was in the mood for pretzels.
Eliot finally relaxing and returning Corey's impromptu man-hug at the end of "The Underground Job."
Hell, that entire scene, where Eliot was acting like a father figure to the kid.
And Eliot's grin at Hardison's Gone Fishin' Job shout out...
Eliot: That'll give us enough time to find the bomb
Hardison: Oh, yeah. Plenty of time. Meanwhile, I'll be here. In the van. As far away as possible. My dude, go with God. (high fives and hugs Eliot)
The little girl in "The King George Job". Eliot giving her a high five, Sophie worrying that her thieving may have hurt an innocent like her, Nate telling Sophie (repeatedly, sometimes at random intervals) that she never hurt anyone.
The little boy in "The Ho Ho Ho Job" asking Eliot, who's dressed up as Santa but with his customary gruffness, if he's mean of if he's nice. Eliot passes him a present then puts a finger to his lips, indicating that he is nice, but he doesn't want anyone to know.
The "family gift exchange" at the end. It would have been incredibly cheesy if the gifts hadn't been so thoughtful and grown-up.
And stolen, don't forget stolen. That was heartwarming and a little Fridge Brilliance as well. They are all so rich from previous and current exploits that they can buy anything they want, (and they spend plenty of time stealing money from evil marks who do just that) but to acquire the perfect gift is a true test of worth to a group of thieves.
Parker hugging Hardison at the end of "The Long Way Down Job."
Also in "The Long Way Down Job", Parker and Elliot are trapped in a chasm where they found Alan's body. When figuring a way out, Parker is very insistent on taking the body with them, to Tear Jerker levels.
Elliot: IT'S DONE!
Parker: NO! This is what we're supposed to do! We're supposed to get him back to his wife! Nate would do it, Sophie would do it, Hardison would do it... they would do the right thing! I want to do the right thing!
And while they aren't able to retrieve Alan's body, Parker is able to slip his cell phone into the pocket of The Dragon, which starts transmitting the frozen hiker's final message for everyone, including his widow, to hear once it gets in range. His last words to his wife are incredibly sweet, made all the better when Eliot tells Parker, "You did it. You brought him back to her."
Every. Single. Moment. that Charlie!Hardison and Dorothy!Parker are on-screen together during "The Van Gogh Job," except for their last moment, which is a real Tear Jerker.
Actually, just that ENTIRE EPISODE, barring bits where Eliot is beating people up and the Tearjerker bits. From Real!Hardison and Real!Parker's handholding cuteness and Sheriff!Nate's dedication to the right thing and also his warbride (Sophie, who else?) and of course, "Don't waste time."
In "The Carnival Job," the instant that it's revealed the mark's daughter was kidnapped, they immediately drop the con and devote everything to rescuing her. It isn't even a question.
The last thirty minutes of "The Grave Danger Job" Everyone is hell-bent on getting Hardison out of that coffin. They don't care about the con anymore. The phone call from Parker to Hardison, the hug the he and Eliot have...all of it just...damn.
It's a small moment, but as time starts to run out, Parker calls Hardison "Alec" while begging him not to leave her. Because he's her friend, and she needs him.
Specifically, in a nice reference back to the season two finale, he calls Nate the best thief he's ever known.
Also int hat episode, Parker has to wear weighted boots to mimic the gait of the mark to access his vault. She has a breakdown when she gets frustrated practicing on Hardison's DDR pads with the voice taunting her:
Parker: Hardison! This limp, and these boots, I don't like them. They're weighing me down. Quick and light. That's how I survive. You slow me down, you kill me.
Hardison: Hey, hey, hey. Parker. Listen. You had to be quick cause you were alone. If you get caught that's it. I get it. But you're not alone anymore. Look. Look at me. You're not alone. You're not. You have a team. You have me. And I got you - I got you girl.
Then he goes through the steps with her humming the song that played during their first dance.
Later in the episode, there is a Call Back to that scene. When Parker is feeling nervous about entering the vault:
Parker: (deep breath) Um, Do you think maybe you could, uh - Well it was just easier before when there was, um, music. Beat. (Parker steels herself to make her attempt. Hardison's humming is heard over the coms. Parker gains renewed confidence and starts walking, Nate looks confused, and Sophie looks delighted.)
When Parker is on the roof at the end, with no available escape options:
Parker: Hardison! I'm on the roof with no way down. Hardison: Stairway and elevator? Parker: No they're both blocked. I think I'm trapped up here. Hardison: There's a third way down. Parker: No, I don't have a chute Hardison: Uh, check again. Parker: (Checks her backpack, finds a chute.) Did you do this? (Flashback to the earlier scene of Hardison telling Parker she's not alone)
In the Experimental Job: When Parker rescues Hardison from the Secret Society by beating up the entire group, normally Elliot's job.
Also in the Experimental Job: Parker's hilariously horrible pep talk and Hardison surprising reaction to the entire speech is so sweet and it shows how far they've actually come as a couple. The kiss wasn't bad either.
Parker: Remember the other night when you were playing with your pretend friends?
Hardison: They're real peo... Look, they're, they're not pretend. They're just not in the same room with me.
Parker: They're an elf, a dwarf, and a thing with a tail...pretty sure they're pretend. Remember when you took the thingy with the glowing thingy and then you used it to kill the guy who was on the shiny stuff and then also there was all this magic?
Hardison: I, I think so...
Parker: That was so cool. I mean, how many people here are cool enough to kill the guy with the thing?
Hardison: You know what, you're right, that was pretty cool.
Sophie (on comms): That actually worked?!?!
Hardison: No, but the fact that she thought it would work? That worked.
In "The Boys Night Out Job", Hardison's reason for telling Hurley (the addict from The 12-Step Job) how to find Nate.
Hardison: It seemed like you've been focusing so much on the part of the job where we wreck people, I wanted you to see we've done some good in the world.
"The Lonely Hearts Job": Eliot delivering gifts to Sophie and Parker in Nate's and Hardison's names.
Also from "The Lonely Hearts Job", Nate and Sophie's "date." To gain the trust of the mark, a grifter running a ring that specializes in Black Widow, Nate has to woo a woman of the mark's choosing. This turns out to be Sophie under the guise of a duchess. Since the mark knows all the tricks, Nate and Sophie could not plan ahead. What starts out as Nate's character romancing Sophie's character turns into Nate romancing Sophie herself.
The moment when Archie introduced Parker as his daughter to his biological daughter that was trying to get him to go to assisted living at that moment and then promptly left with her. Parker's face just sells it.
Watching Hardison get all respectful and polite around Archie is kind of precious.
And Archie does mention to Parker that he "approves of her young man".
Hardison and Parker's "picnic under the stars" from "The First Contact Job".
The entire plot of "The D.B. Cooper Job". Over Nate's objections, the team helps McSweeten's dying father, an FBI agent, with the one case he could never solve—the Real LifeD.B. Cooper skyjacking. It turns out that Cooper was actually Steve Reynolds—McSweeten's own partner, whom he himself recruited into the FBI. While McSweeten never caught "Cooper", he did something even better by turning him into a good person.
One of the sideplots for "The Broken Wing Job" was Parker solving the personal problems of customers who frequent the team's restaurant. She manages to pair the lonely singles "Romeo" and "Juliet" together. There is also a surgeon who orders a chicken parmesan every day but always stops after the first bite because it's not the same as the one his deceased wife used to cook for him. Parker goes out of her way to cure his depression by telling him is wife would be proud of him, and she lets him try every dish the restaurant offers so can he can find a new favorite dish.
For extra heartwarming, compare this Parker to Parker from, say, any episode in the first season. It's astounding how far she's come, especially since she and Hardison started dating.
While talking with Hardison in "The Low Low Price Job", Eliot reminisces fondly about his father, but they both left on bad terms and never talked to each other for years. At the end of the episode, Eliot goes back to his hometown in an attempt to make amends.
In a slightly weird way, the warehouse scene of The Big Bang Job. Eliot, who has spent three seasons repeatedly saying that he doesn't like guns and who has been the most dubious about going up against Moreau, takes up a weapon he doesn't like to do something he's been trying to get away from (he beats people up but we don't see him kill that many people in one setting until this episode) in order to save Nate (and the Italian) and bring down Moreau.
"The White Rabbit Job" stands out because the team is actually trying to help the guy they're conning, since his guilt over the death of his cousin is sending him in a self destructive spiral. However, the mark is nearly Driven to Suicide, but Parker managed to talk him down by actually opening up about how she dealt with the death of her little brother, something she had never told anybody outside of the team.
On a meta-level, this, from John Rogers' Kung-Fu Monkey site.
"We've got one more to go, but I thought I'd put a spot here, where all you obsessive, cranky, persistent little bastards I love so much come to harass me. I'll do a proper wrap up later this week. Talk amongst yourselves. Thanks. For everything."
The FINALE! Oh God, the finale. The proposal. The good-bye scene. The callbacks. It's all so warm and fuzzy—when it's not all dark and depressing, that is.
Especially the way Nate passed on leadership of Leverage - not to Hardison, but to Parker. It's a wonderful acknowledgement of how far she's come from the barely socially adjusted thief in Season One.