Why I like it? Because it has amazing animation, beautiful music, funny scripts, heartwarming stories, lovable characters, an interesting world, and just as good, if not better, character development/world building than many of the other shows I watch. The team that creates the show is great and loves to interact with the fans. And speaking of the fans, we have one of the best fandoms I've ever encountered. Many of the people I've become the closest friends with are people I met through this show. And the artistic talent in the fandom is breathtaking. The music, the art, the stories, there's so much we need whole websites just to keep us updated on it all (case in point, EQD).
Yeah, I know these aren't so much fact as opinion, but in the end, something being great is all opinion anyway. It's just a matter of how many people share said opinion. Oh, and as for clips, I have several options which came to mind.
If you just wanted one of the friendship reports, I would suggest the one from SSCS6K:
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If any lesson will do, I'd suggest showing either both clips from Wonderbolt Academy (context from the first, lesson from the second):
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Another option for a lesson would be both clips from Flight to the Finish (again, context for the first, lesson for the second):
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If needing a clip to show world building+references:
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And for "this show is freaking awesome", you have the embedded clip.