So, you do like rice and butterflies, do you? Anyway, let's turn the colors off on the telly & add "Tokyo Drifter". I love musicals just as much as gangster flicks .
There are great episodes and bleh episodes, much like The Twilight Zone. The original Outer Limits is worth checking out.
If you watch one episode, probably check out "The Architects of Fear." It's one of the more well-known episodes due to Alan Moore and Dave Gibbon's Watchmen comic.
There are also numerous precursors of the Twilight Zone concept. Particularly the British production "Dead of Night" (1945) is worth checking out and stands among my favorites. It includes several excellent episodes, quality production values & a superb staff.