First of all. Happy Birthday.
Well, Bravely Default is a must have, it has a great storyline (which can become cumbersome later on, but it's not that problematic), but of all the 3DS RPGs I played until now, this was the most capturing.
A Link Between Worlds has a real LttP feel and some areas really benefit from the added 3D effect (the inside of the volcano!!!), but it's a bit short.
Shin Megami Tensei: Soul Hackers is ok, I've not yet played through it, because I didn't have the right mindset for it. Unfortunately the release of SMTIV was totally delayed in Europe so I haven't bought it yet, because of that.
Like AngelCityOutlaw said, Fire Emblem is a must.
Additionally I can recommend Harvest Moon: A New Beginning, if you like games like this