I bought my Aqua Blue 3DS along with a game on May 11, 2011. That game was Splinter Cell 3D. I beat the game, I'd say it was a pretty good. Just too bad it was short though...
Got my 3DS on October 1st 2012, but I didn't get my first full game until the 7th, that being Mario Kart 7. Next was Kid Icarus: Uprising, after Christmas that year. Then, Etrian Odyssey 4, Pokemon Y, and a bunch more.
First 3DS game I played was Tales of the Abyss 3DS (borrowed that and Theatrhythm in like January 2013, shortly after I got my 3DS - interestingly both titles are now in my posession, bought them later on), but the first I bought was Kingdom Hearts Dream Drop Distance.