There is no equivalent in any other sport. It’s kind of like shooting par in golf with opposing players defending the holes.
A 147 in snooker is pretty impressive (although it's no no-hit perfect game).
This one by Ronnie O'Sullivan is very beautiful particularly the shot at just over 7 minutes:
http://www.youtube.com/watch?v=V1s9oC5ebFs
And this one is the fastest 147 ever (again by Sullivan when he was younger)
http://www.youtube.com/watch?v=btmB-p_0QFg&feature=related
Again, not to be compared to a no-hitter but they're much shorter to watch ;-)