I really think the "everyone hates Applejack" thing is just a misunderstanding. Like others mentioned before me, people joked calling her a "background pony" because she didn't have much time in the spotlight like the other members of the mane six did. However, I'd argue that in reality she's one of the most loved ponies of the mane six! I've seen many "who is best pony?" polls conducted, and Pinkie, AJ, and Flutters are all neck and neck for first place.
I can't think of a single person telling me that they hate her. I have a friend who hates her laugh... but that's as close as I can think of.
Still is there any episode in the entire seasons where Applejack and ONLY Applejack is the Pony of the day? I mean we have Ponies with episode TOTALLY focused on them and the rest of the mane 6 being in minimal screen time, like:
-Lesson Zero: Twilight had her OCD and it made her snap. Her friends had barely, like, less than five minutes total of Screen Time.
-Party of One, Pinkie Pride, Party Pooped: Pinkie had her famous "Pinkamena" psychosis and some other shenanigans in another episodes, while the rest of her friends were only at the end, and the lest time screen was for Applejack....
-Putting your Hoof Down, Filli Vanilli etc: Again Fluttershy is so adorable that the rest of her friends had minimal screen time.
-Rarity Takes Manehattan: Rarity is BEST PONY. And again, less time for the rest of the cast.
-Tanks for the Memories: MY GOSH
. I loved this episode. And again, Applejack had not only the least Screen time, but also the least dialogues.
Is there a TRULY, Applejack centered episode where her friends had the less screen time? In even episode she had, her friends were there speaking and mostly EXISTING. They didn't let Applejack shine and those episodes for her were supposedly for HER ONLY.
I don't have Applejack but IMO she still doesn't receive an episode that it's, indeed, TRULY, Totally centered about her.