So I have played every single version of Zelda, including the CD-i "versions" (can't even consider them games, let alone Zelda games), and I have to say that I "get" A Link Between Worlds as it's cool and retro and plays a like the original ... but that is also why I didn't really like it that much. It plays like an old Zelda game ... and that's not necessarily a good thing. Games have come a long way since the original Zelda and I like the larger stories and expanded gameplay of the modern versions.
This game is really the bare basics (which is why people seem to like it so much) -- build up your character, find dungeon, defeat dungeon, repeat. But for me the game was a little TOO basic.
Still I did finish the game in a few days so that's something. It's not a bad game, if anything it's a solid game, but compared to past Zelda's I don't think it was anything special. Probably my favorite portable version was The Legend of Zelda: The Minish Cap which had lots of cool mechanics and the cap itself was a fantastically written character.
But if you want to get crazy and play the hardest game ever made
(seriously) try to find Freshly-Picked Tingle's Rosy Rupeeland
. That game is a monster -- money is your life AND your currency, and EVERYONE in the game requires you to pay them to advance the story ... everyone.
Read the article and try playing it ... this game will literally drive you insane.