Assuming you have a 2/3DS (as I can only safely assume you have at least a DS & a Wii), I would recommend Zelda: Ocarina of Time 3D. Being part of the Nintendo Select line, you can pick it up for $20. The Virtual Console version of Link's Awakening DX ($5-$6) would be a good choice as well.
If you have a New 2/3DS, you may want to consider picking up the Virtual Console version of Link to the Past ($8) from the eShop as it's a solid game & does provide some context for Link Between Worlds (which is a spiritual sequel, as it utilizes a similar world layout).
If you have a Wii U (which is a bit unlikely, as you did NOT mention Twilight Princess HD), you can pick up Virtual Console version of Ocarina of Time for $10 & Link to the Past for $8. The other option would be Wind Waker HD as it's a bit better paced than the original on Gamecube (which can be played on the Wii, but you need a memory card & controller for it).
While there's plenty of Zelda titles to choose from, these are the better titles that I'm willing to recommend to those who aren't die-hards of the series.