"I've heard a great deal about you, Fa Mulan. You stole your father's armor, ran away from home, impersonated a soldier, deceived your commanding officer, dishonored the Chinese Army, destroyed my palace, AND…you have saved us all."
At the end:
Mulan: I brought the sword of Shan Yu, and the crest of the Emperor. They're gifts to honor the Fa Family. Fa Zhou: (throws them aside and hugs her) The greatest gift and honor is having you for a daughter. I missed you so.
Mulan herself even tears up a bit, adding to the heartwarming feeling. She's clearly super-relieved that her dad isn't angry with her.
"Don't you worry, okay? Things will work out. We started this thing together, and that's how we'll finish it. I promise." ...from Mushu, who had originally been using Mulan as a ticket to becoming a guardian again.
"You are the craziest man I have ever met... and for that I owe you my life."
All of China bowing to Mulan.
Near the end of "I'll Make a Man Out of You", where Yao catches Mulan/Ping's staff in the air, but quickly hands it off to her/him with a smile, showing she/he has earned his respect.
It makes for a great contrast with the beginning of the song, where, in a nearly identical situation, Yao catches her/his staff, then uses it to knock her/him off her/his feet.
At the end Mulan says "Would you like to stay for dinner?" and the Grandma shouts "Would you like to stay forever?"
After "Reflection", in which Mulan is clearly doubting herself and feels that she has let her family down, her father comes up to her under the blossom tree. At first, she's too ashamed to even look at him, but instead of being angry or even stern, her father cheers her up with this moving piece of dialogue:
Fa Zhou: My, my. What beautiful blossoms we have this year. But look! This one's late. But I'll bet that when it blooms, it will be the most beautiful of all.
Shang's blundering around Mulan at the end. "Um, you...you fight good." A fine adorkable moment.
Mulan giving the Emperor a hug.
Yao: Is she allowed to do that?
Shang, Ling and Chien-Po:shrug in a 'don't know, don't care' way
It's quick, but after they save the Emperor and Shan Yu turns to Shang and Mulan on the ground, Shang puts his arm out protectively in front of Mulan.
When the Emperor is captured by Shan Yu, we see Shang, Yao, Ling, and Chien-Po trying to break into the palace to rescue him. Mulan runs over and tells them she has a plan. Shang looks understandably hesitant to follow her, but Yao, Ling, and Chien-Po immediately drop what they're doing and run over to help her. It clearly doesn't bother them a bit that she's a woman or that she had to lie to get into the army. That, my friends, is the very definition of True Companions.
In the same vein: when it looks as if Mulan is about to be executed, Yao, Ling, and Chien-Po rush to defend her before Chi Fu stops them. Considering how distraught they were moments before over "Ping's" injury, it's highly unlikely that their horror was due to suddenly seeing her as just a Damsel in Distress rather than a respected friend in immediate danger. Especially when you take the above example into account. Not to mention their devotion to her is even more heartwarming considering that Yao and Ling had been the most relentlessly mean to her at the start.
And one more: After Shan Yu's defeat, all four men close ranks protectively in front of Mulan when Chi Fu starts trying to threaten her again, only reluctantly moving aside when the Emperor specifically gestures for them to do so.
During the "I'll Make A Man Out Of You" reprise, when Mulan and the three guys are getting ready to infiltrate the palace, and Shang taps on Mulan's shoulder and throws his cape around the pillar. Considering his attitude towards her after finding out "he" was a "she", it's especially heartwarming to see him joining in with her plan with no reservations.