For me, aside from the fact that I just prefer the way iOS handles most everything the big things I would lose are any iOS-only sharing services. Here's why:
My family (siblings, parents, grandparents) and my wife's family (siblings, parents, grandparents) are all on iOS devices. Now some of them are tech saavy (my brothers, my mom has a corporate dropbox account) and would at least know what I was talking about if I asked them to download and signup for an additional cloud storage service so I could share pics with them or communicate via wifi.
But even if they know about it, they really don't want to have to keep track of a secondary messaging app or move files/photos into another cloud storage app (examples, you see what I'm saying). And frankly, I don't really care to do so either.
Things like iMessage, FaceTime, Photo Streams, AirDrop etc are all baked into iOS meaning my family doesn't have to do anything extra. My wife and I will be having kids soon and while our families are close and we'll be blessed to have them involved, I'm sure my grandparents who live on opposite coasts would really love to see photos.
So I can simply create a PhotoStream dedicated to pictures of our newborn (whenever it happens) and invite all my family to join. As my wife and I document our new baby's first steps, first words etc we can share those instantly across the country with our family. And if I happen to be away or my mom or wife's mom is taking care of the child, its easy for them to add their own photos.
And this all happens in the photos app without having to sync anything, or upload anything to a separate app or download any photos from a separate app.
This is just one example I've been thinking about lately as we've started talking about kids. And I can't wait to be able to share those moments with my family. That's the type of thing I just don't get using an Android device.