Some of my favorite shipping's are Pinkie pie and cheese sandwich, Rainbow dash and Soarin and my most favorite; Derpy hooves and Doctor Whooves <3. Whats yours ? =)
Here's my most favorite parings. (Decided to add spoilers because they're large images.) Spoiler: TwiDash Spoiler: AppleShy Spoiler: RariPie
Too many to list but there are quite a few I find cute. Derpy x Doctor Lyra x Bon Bon Octavia x Vinyl Scratch Rarity x Spike etc.
Lyrabon is pretty much my #1. The rest are all of a mix of love. I ship things way too much. Except for pretty much all of the popular straight ships for the Mane 6. I don't like Flashlight, Soarindash, Carajack, Sparity, or Cheesepie. Flash is boring, I like Soarin with AJ or Braeburn, Carajack is just plain boring, Spike's a kid and I prefer him with the CMC, and I cannot for the life of me ship Weird Al in horse form and Pinkie Pie together.
AppleDash is the more common name for Rainbow Dash x Applejack. Not that it matters, because Rarijack is clearly the superior pairing.
Eehh...They hold equal billing in my brain for different reasons. Rarity and Applejack are pretty opposite each other and, if they did have their proverbial toast buttered in that particular slant to the heteronormative surface of the toast or the butter or maybe the knife in this...whatever I'm rambling on about, I can't see them getting along as easily together. But I'd find it pretty enjoyable to see. RainbowJack, on the other hand, I kiiiiinda see more likely to work. Yes, They can rub each other up the wrong way too but it's more because of Rainbow Dash putting up a front and Applejack getting annoyed with it usually, rather than being interested in completely different things. They're both rather athletic, giving them both something in common. Though, a relationship with someone that has an interest in something entirely different to you is fun because you can share and interest the other in it, swapping stories, blah blah. Again, Rarijack is more interesting, but RainbowJack is more likely.