I think things like this always come down to personal taste, but I'm not a huge fan of non-touch screen keyboards, and because I use my phone for a number of different things throughout the day, I like the idea of a big screen, smooth design and ease of use.
The Samsung I827 Galaxy Appeal doesn't really say any of that to me:
So I'd so with the S III if choosing between those two.
If we opened it up to all Samsungs, then I'd actually prefer the larger 'phablet' screens of the Note 3
And if we open it up to
any phone, I have to admit that I'm still too loyal to iOS for anything other than an iPhone 5 or 5s.
I love downloading the latest apps and having the newest technology on my phone, and unfortunately for Android users, Apple seems to have all the apps first, and the design and user interfaces just seems to be better and more reliable on iOS...
Just my opinion though!