Saw this on USA Network (I think) in the late 80s/early 90s. It was either an anthology series or a miniseries reviewing horror movies. It may or may not have been hosted by Robert Englund. What I remember most is that the intro said something like, "There is nothing to be afraid of except your heart, which can stop beating at any moment". Know what it is?
Freddy’s Nightmares has Robert Englund and is an anthology horror tv show from the correct time frame.
"Nightmare Cafe" is my best guess. http://www.imdb.com/title/tt0103502/?ref_=nm_flmg_act_94
The timing is right and it was an anthology series. "Freddie's Nightmares" is also a possible but that was earlier.