Don't just stop there, I guarentee there's many, many games you haven't played from back in the day. The past isn't exactly an escape, it's a well of new content waiting to be discovered. I'm running through FE4 on SNES now, still, as it's kept me occupied for months off and on. And Princess Crown on Sega Saturn finally got a full translation last month, so I want to play that soon to see how Vanillaware got their start. It looks beautiful.
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I go to Vimm's Lair first typically (Goytendo cracked down on them hard however). They have most of the emulators you need (outside of things like Citra 3DS). After that I'll try CDRomance. You can use Ziperto to get a lot more recent stuff like on the 3DS (with full DLC often included). After that, pretty much search online and you'll usually find what you want. If you get a Japanese exclusive, I use romhacking.net to find a translation patch which are usually available to varying degrees of quality. They even have an online patcher for the file if you need it, including DeltaPatcher for 3D games.