Why wait for Nintendo to make a SNES Classic Edition when you can play SNES games on your NES Classic Edition? Not only that - you can also play Sega Genesis and Game Boy games on your mini NES. Basically anything that can be played on the RetroArch software can be played on your NES Classic Edition thanks to this new hack.
So here's the deal a hacker who goes by the handle "Madmonkey" has compiled a version of RetroArch that allows users to install games from all kinds of consoles. Using this software you can get games from the SNES, Sega Genesis, Game Boy, GBA, and NES to run on your mini NES. This comes just weeks after users discovered how to load and play additional NES games.
You're going to have to do a little bit of leg-work to get this up and running, and there's a chance you could end up ruining your NES Classic Edition. Considering Nintendo may have ceased production on the mini NES (more on that here), it's possible you may never get a chance to buy another one; not at a reasonable price, anyway, so you've been warned.
If you're still willing to risk bricking your machine in order to play SNES games, you can find instructions on how to get RetroArch running on the NES Classic Edition right here. Storage is obviously limited, and not every SNES and Genesis game is going to work.
Your performance will vary, and if you really want to play SNES games flawlessly on the big screen, you're better off just going with an emulator (assuming you actually own the games you're wanting to play and you're willing to rip the ROMs yourself).
Here's a video showing several games in action, all of which are running on an NES Classic Edition: