In Final Fantasy X when Tidus and Yuna are luaghing together really awkwardly. It was one of the first real signs of an incredible romance.

In Final Fantasy VII when Cloud is going back in his memories and he can go into Tifa's house and pick up her underwear. hilarious

Ze Shoepuff (Imposhibible, imposhibible!)

Kilika Sending

The small glimpse of a blitzball tournament in Zanarkand

[some others that I can't think of now.]

Kandy-Sugar - I presume you meant Squall dancing with Rinoa, not Laguna

FFVII:
Cait Sith explaining why he's helped save Tifa from execution

FFVIII:
The opening and ending FMVs
"I dreamt I was a moron"
Waltz for the Moon

FFIX:
Black Waltz 3 destroying all the Black Mages who try to protect Vivi
Zidane embracing Garnet at the end

SPOILERS of course.

FFVII - finding Seto in Cosmo Canyon. A rather surprising moment with that spectacular music in the background. The tears falling from Seto's petrified body...

FFVII - the whole sequence within Cloud's mind. The twist came out of nowhere and the relationship of Tifa and Cloud was sweet.

FFVIII - the Dollet town landing and escape. Awesome graphics and music.

FFVIII - any scene with Laguna and Raine. Those two had something.

FFVIII - the ending sequence. They made sure to drag the player through misery before showing Squall and Rinoa.

FFIX - the Black Waltz going insane. Music, timing, and an emotive character without speaking or seeing a face, what an achievement.

FFIX - the errant love letter. Somewhat heart-breaking for the little lass Eiko, but I loved the tension between Beatrix and Steiner.

FFX - the laughing scene. Intentional horrendous laugh that breaks into true laughter shows the budding relationship perfectly, especially since it was meant to help Tidus cope.

FFX - the death of Gatta or Luzzu. For a while, I thought only Luzzu could die here, but then on one playthrough I went up to Gatta only to have him slump over. It took me quite a few moments until the shock wore off. The fact that two scenes eventually follow that are just as poignant (the temple and Besaid) only heightens the emotion.

FFX - Rikku's reaction if Tidus flirts with her. Small but it lends so much to the game.

FFX - Rikku and thunder. Funny, cute, and when the group walks away only to pop back into view and reluctantly agree to stay at the inn... it's priceless.

FFX - Home. Devestation, loss, and then the truth finally comes out. The reaction of the group, Tidus' lost expression, the fading background noise, and the eerie music all contribute to what might just be the greatest moment in gaming.

FFX - the truth behind Anima. Oi, did not see that one coming.

FFX - the truth behind Belgimine. Not really much of a twist, but it added so much depth to Spira.

FFX - The ending. What really needs to be said here.

FFX-2 - either of the two endings in which Tidus returns. I must be one of the few, but I never felt that his return lessened the impact of FFX. It was fitting that through all that Yuna and Tidus had to suffer, they were given such a wonderful gift.

Crisis Core - any scene with Aerith. The love between Zack and Aerith was wonderful to watch unfold, but also terrible since I knew how both would end up.

Crisis Core - Zack crying after Angeal's death. When Aerith comes over to comfort him...

Crisis Core - the ending, from the letter to the credits. No moment in gaming and probably all of entertainment had me so emotionally wrecked that it took hours to play through the sequence. Knowing full well what would happen, I still couldn't manage to keep my emotions in check, but when that damn DMW started to go hawire I lost it. When you know what is coming, but the game still manages to sucker punch you like this one, there was something special.

Advent Children - the return. Have to admit, right before Sephiroth made his appearance I was almost exploding with anticipation. The proceeding fight didn't let me down.

Advent Children - The ending. Love the interplay between Zack, Aerith, and Cloud. It was a wondrous moment to finally have all that emotional angst settled. I also loved to see Zack and Aerith together, especially after playing Crisis Core. And Cloud smiled.

FFIV: Cecil winning over Rydia after his crime. Mt Ordeal. Edward vs the Dark Elf. Tellah's sacrifice and Kain coming back.

FFVI: Opening scene. The split-party quest (Locke in S Figaro; Sabin to the Veldt; Terra and Edgar on the River). Bringing it back together to fight Kefka. The end of the world and Shadow's heroics. Celes' and Locke's scenes. Shadow's dreams. Gau meeting his dad. The ending.

FFVII: Midgar--the whole thing. Gold Saucer. Killing Hojo. Finding Aerith...too late. Finding Vincent. Tifa's adventures. Nibelheim. Cloud vs Sephiroth at the end.

FFVIII: Opening. Dollet. Graduation. Squall confronting Edea. Laguna's misadventures, and Squall's reactions. Zell freeing the party (I always play that out about a half-hour or so more than I need to). Zell and company infiltrating Balamb. Balamb vs Galbadia. Squall carrying Rinoa across the bridge. The concert for Squall. The party loving on Squall throughout the game. Saving Rinoa. Squall's change in character. The ending. The humor throughout this game is among the best of them all. Surprising.

FFIX: Replaying for the first time. I remember not a lot. Getting Amarant. Escaping the Petrified Forest. Wasting a ton of time trying to fix it. The Festival of the Hunt. The Black Waltz incident...more to come. This game is a gem.

FFX: The Blitzball tourney. Tidus' optimism affecting the party. Kimahri vs Seymour while the party escaped. The Sphere Grid.

FFXII: (Haven't finished it yet.) At first, the bounties. Escaping prison and getting Basch. Taking out the traitor-whose-name-will-not-be-spoken.

Final fantasy tactics. At the end delita getting stabbed and killing ovelia.
Also The moment the cardinal turns into cuc...... the green blob. I was stuck for ages because didn't save seperate file.

FFVII: When Cloud and Tifa is in the lifestream and Cloud is talking about the incident 5 years ago. When the memory Zack gets thrown and then the memory Cloud runs in and the observing Cloud says "I saw everything." It really gave me chills because it was so suspensful with the way the camera was moving back and forth and I was like dying to know what happened. Then after he stabbed Sephiroth and walked to the front of the screen and took off his helmet and the emotional music starts playing and then the truth is revealed. I love that part the most. My eyes were literally stuck to the screen in awe. The whole memory scene really was very strong.

FFVIII: In disc 1 when Squall, Zell, and Selphie are sent on their first mission and they're running from the big mechanical spider. The whole chase scene had me at the edge of my seat. And I was smiling from ear to ear when Quistis whipped out the machine gun and started blastin away.

FFX: The spring scene when Tidus and Yuna kissed. I thought it was the most romantic scene in the whole FF series.

FFX: The ending nearly had me in tears. Especially when she couldn't touch him. And when he hugged her and the music got really emotional, I was fixed with a sad fascination at the whole scene.

I really liked the part where Tidus and Jecht slapped hands. It was a sign that their bond had been restored.

Her speech at the end kind of brightened the sadness that lingered from Tidus' disappearance but when she said 'And the dreams that have faded...' and all the memories were showing it kind of brought it all back.

Wow, so much to remember...these are games are the epitome of epic.

One scene I'll always remember is in FF VIII, when they are planning on assassinating Edea, and Irvine momentarily loses his nerve. Then he regains composure, fires and she stops his bullet in mid flight. Epic stuff. Squall basically thinks "shit, plan B...close combat it is"