I use Yuzu through EmuDeck. Even with Nintendo having given the crunch on Yuzu it's still my preferred emu and can run almost anything with little to ko flaws.
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Mariokart 8 Deluxe runs great, flawlessly I'd almost say! Online multiplayer works really well too, if you have friends that are also playing through Yuzu. However... Local multiplayer is hit or miss; there is a prevalent issue starting up a splitscreen match with the controller activation pop-up, as it tends to soft-lock the game.
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The Legend of Zelda Breath of the Wild runs great too, but with occasional framerate instability. However, I noticed framerate on the native Switch wasn't perfectly stable either when I played my friend's copy. You'll certainly notice bad framerate when the game has to render rainy thunderstorms.
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Raymen Legends The Complete Edition is completely flawless!
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Mario Wonder struggles a lot with framedrops. Dunno what it is, but that game is seriously difficult to get a stable framerate on regardless of the Deck or a modestly powerful desktop, even after trying all sorts of settings.
Those are all the Switch games I've played, but I'm also playing, and have played other emulated games:
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PCSX2 for PlayStation 2 I don't think you're going to have any problems with. I've played through some of Rayman 2 and Spyro The Eternal Night and have had no issues.
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RPCS3 for Playstation 3 takes some finangling with the settings to get games to run decently, and you WILL still get imperfect framerates... Buuuuut... I'm currently playing the first Motorstorm and the Ratchet & Clank HD Trilogy and I really can't complain. Despite the occasional slow-mo lag (especially in Ratchet & Clank for some reason) performance is great.
The two games I'm playing through RPCS3 work best by setting the resolution to 75% native and turning on 50% FSR in the emulator's graphics settings. It looks better and runs better that way, as opposed to using the native resolution.