Khuutra, I love you and your rules. 
Someone should make a comic out of it. 
1. The Trio: I just love a Zelda game that contains all three of the Triforce wielders. It's just great to witness the characters interact, being that each one is just so different from the other. Link is the silent and courageous hero, Zelda is the wise and beautiful princess, and Ganondorf is the powerful and ruthless villain. And yet each character is so much more than just that. I have to admit, I cheered when it revealed that Zant was just a puppet for Ganondorf. And when some called cop-out, I called awesome conclusion thanks to the gravity of the timeless feud between the now-complete Triforce Trio. Final battles don't get much better than the one in Twilight Princess folks, and that's thanks to all three of them participating.
2. The Lone Ranger: If there's one thing I love about Hyrule (and to a point, the Great Sea) it's that I just love to explore the untamed land around me. I started playing Zelda with Ocarina of Time, and there was nothing, nothing (nothing) like when you first approached Hyrule field. It was immense, it was mysterious, and it was mine to explore. It was never to be conquered, but just to be experienced. Riding Epona (and the King of Red Lions) through the land... just to ride. It's a very freeing feeling. No side quests, no NPC's, no distractions. It's just you and the land ahead of you.
3. The Bosses (and the items to defeat them with): Zelda bosses are always great, no doubt about it. I mean, so many of them follow the "find weakness and exploit it 3 times to win" formula... but that's just the basic of the basics. To find that weakness, and to expolit it using your newfound item... now that's the fun part! I mean, we've got guys like Twinrova (using your Mirror Shield to reflect their attacts) or Stallord (using the Spinner to crack its spine, and then to go on a rollercoaster ride!). These are some great bosses in the Zelda universe, I just love the way that you have to use brains and brawn to get to them.
Those are the big three (at least for me). There's plenty of other things I enjoy that I'd implement in a future Zelda game, like pseudo-dungeons (like the Mansion in Twilight Princess... it took me at least a half an hour to realize that I was in a dungeon. Brilliant.), the classic Zelda tunes (hopefully in orchestrated form this time around.), clever puzzles (clever, not aggravating *Looks at Water Temple*), and a musical influence (Ocarina, Wolf Howling, Flute blowing, ect.).