[whateveracct]

Original hardware + an everdrive + some hardware upscaler [1] is the way to do it.

[1] Super64 is excellent - its "blurry" mode makes things look authentic on my HDTV.

[paulryanrogers]

For lowest latency you may also need a CRT. Thin screens are getting better but every stage of the pipeline can introduce more lag than the original.

[whateveracct]

That's true. I have a trove of CRTs for playing Melee :)

But for the average N64 classic, a commercial HDTV with an upscaler works fine. A high refresh rate monitor also works great (even for something as precise as Melee.)