As with anything my favourites have changed across the years. I guess I will approach it from that angle. It should be noted that I came to a lot of Star Wars AFTER release, in some cases many years after.
Very young - The Trench Run
Having only just learned of Star Wars existence, and not having a great recollection of this phase in my life, I will have to go purely based off a story book I wrote when I was a 6 year old all about A New Hope. It seems that the Trench Run really captured my imagination as a kid. On a rewatch of A New Hope with my own kids in the last several months, I found the Trench Run to still be a really effecting sequence. And I found an odd emotionality in my response. At this age, it was all about the space ships, baby
Preteen - The Jabba's Palace/Sarlaac Pit Rescue sequence
Luke Skywalker was my hero. This was his hero moment. Later in the movie it was awesome too, but this was adventure of the week, Luke doing his thing, type stuff that my imagination craved. My play time was guided by his power set and abilities during this sequence.
Teens - The Books
Timothy Zahn gave me my favourite villain. Courtship of Princess Leia (which probably isn't Star Wars par excellence if I was to read it again) ignited a wistful, imaginative romanticism which for good or ill continues to this day. The Crystal Star (yeah, it isn't a good book over all) delighted me with the young Solo kids interacting with animals and insects through the Force while in a cell. Tales of the Mos Eisley Cantina absolutely creeped me out with the one story about the Anzati. Honestly, when I found out the EU existed, I devoured every single thing that they had. By then there were years of material so I was pretty busy - also slow reader. Sorry prequels, I like you and all, but the books were my great love.
The Dark Years - The Internet Poison
I was not ever into the online message board fan rage mode type stuff after watching the prequels...which I also didn't catch in theatres, save Phantom Menace. However, I was affected by that atmosphere. Everyone that I knew that liked Star Wars was all of a sudden so opinionated and determined to stick to their opinions. It just all became so tiring to like Star Wars. So. I stepped away. Wounded. "Do you like Star Wars?" My response was now: "I used to be a bit of a fan. But not so much these days." There normal response: "Which one was it for you? Phantom Menace or Attack of the Clones?" I would just shrug, "I don't know. Just grew...out of it, I guess."
The Reformation Era - Luke enters the fray, The Last Jedi
I have developed a detached appreciation for new Star Wars media since the Dark Years. Everything that is produced just is. It cannot add or subtract to my appreciation and fondness for the stories and times I have had with the universe. This is thanks in part to my young kids. Luke is not their hero. He is mine. Ahsoka Tano is my daughter's hero. Ezra Bridger, Kanan Jarrus, Obi-Wan Kenobi - these are my little son's heroes. I here them playing Star Wars in the back yard, just like I did when I was a kid. But the names they say are not names I remember hearing in playtime. No one wanted be old man Ben Kenobi when playing Star Wars at school. But super awesome Jedi Knight Obi-Wan Kenobi, now that is something kids get excited about. Star Wars is for children AND for the children within us. As a adult, it is best not to let your inner child rule you, but rather let it have room to play, nurture it for sure and even indulge it occasionally, but don't let it rule you. With that all said. The moment that Luke Skywalker, Jedi Master, walked out of the huge doors of the old Rebel base on Crait and without fear faced an array of heavy-duty AT-AT type vehicles. I was a kid again. Say what you want about The Last Jedi, but for me it had its moments, and with my hyper-critical nerd voice appropriately turned off, I was free to enjoy those moments and let Star Wars transport me back to an era of unlimited imagination and possibility.
Also. It occurs to me that this may not have been the intent of this thread.