It emulates perfectly well.
I've always loved the 80s stylings of the angular Master System 1, but you may prefer the sleek, smoothed Master System 2.
Or if you already have a game gear or Megadrive, I believe there were adaptors for those systems to let them play Master System games.
There are also a series of official licenced clones from places like Brazil that actually come with a large number of games built in.
Just don't get completionist on it, because collecting MS games is a world of pain.