gogamess: Congrats, enjoy! ^_^
Seeing as you seem to like RPGs, here is what you get in, or close to that genre:
* Final Fantasy is obviously an RPG. (Note that this is the original NES version, complete with all its quirks and bugs.)
* Zelda 2 and Castlevania 2 are sidescrollers with towns and experience points. (Zelda 2 has a world map with random encounters as well.)
* Kid Icarus has a system where you get points by killing enemies, and you get more powerful at the end of the level if you get enough points.
* Some count the Zelda games as RPGs; the first two are available on this system.
* If Metroidvanias without shops or XP count, the original Metroid would qualify.
The Famicom Mini has a slightly different game selection; the one RPG related difference I can think of is that it has Final Fantasy 3 (Famicom version, in Japanese) instead of Final Fantasy.
The SNES Classic might also be worth looking into, and might actually be a better choice here. What we have here:
* Final Fantasy 6 and EarthBound are clearly RPGs.
* Super Mario RPG is here.
* Secret of Mana is called, by some, to be an RPG.
* Zelda: A Link to the Past and Super Metroid are as RPG-ish as the first games of their respective series.