Grinding goes hand in hand with oldschool RPGs. You will have to grind in every 16-bit RPG I can think of. That said some games require it less than others, and again in that respect, I recommend FF6, both thanks to smart progression design and the fact that the grinding is of little annoyance since the battle system is so perfectly executed.

And if you really don't want to level grind, the SNES Final Fantasy III has the famous Vanish/Doom glitch once you acquire the magic to do that about 15 hours in. Vanish causes the enemy to disappear, making them invulnerable to physical attacks but magic will always hit. Then cast Doom, a spell that instantly kills the target unless they have a resistance to it, which most enemies do. Cool thing is, in the SNES original, the game code ignores all resistances once Vanish is cast, so you can kill any enemy in the game by casting Vanish and then Doom. This even works on all the bosses!