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I do not think it is what you are looking for, but the man somewhat sounds like this narrator from Grizzly Tales for Gruesome Kids (an animated show)
https://www.youtube.com/watch?v=lTyKIYXjj9U
Not a horror series, but a dark anthology show for kids
If it is not this show, it could be a show such as Darkroom or Night Gallery
Do you remember anything else about the stories you described?
The Storyteller?
I was also going to suggest the Storyteller, much more likely, but I do not remember an evil doll. Maybe it was something that looked at first glance like a doll but actually was not? If it was from Jim Henson, of his style, it definitely is that one. The first story does sound like 'The Soldier and Death.'
Edited by thestormtrooper
I don't remember many other details. It's not the animated show or Darkroom or Night Gallery. It is similar to Storyteller in a way (old man, fire place, dog) but it was definitely not kid-friendly. Also the stories were set in present days (late 80s-early 90s at the time). I searched for Jim Henson's Storyteller parody/spoof but didn't find anything. It had a parody vibe to it, like it was exaggerating cliches in the bits with the host.
Sorry, neither is it, but if you think of anything else, please let us know. It is very interesting and though I do not ever recall seeing an anthology show like that, I would want to know too.
Edited (update): I decided to ask this on Reedit, someone suggested Tales from the Crypt, someone else Creepshow, are any of those what you are searching for? What about Monsters, Tales from the Dark Side, or Night Visions, any of those ring a bell?
Edited by thestormtrooper
O-k, someone found this and it does sound like what you are describing. The movie is Really Weird Tales, which actually has three stories. The host is quite different and the gender is reversed, but it is about co-workers. It deals with a cursed woman who cannot love a person, because if she does, they will explode, and a co-worker who despises someone, so he turns them into a doll much like a cabbage patch doll. You can find the full movie on you-tube. It features some famous stars, such as John Candy, Catherine O'Hara, and Martin Short. It is a satire on shows such as the Twilight Zone and Tales from the Crypt. The film came out in 1989. Could this be it?
Another thought is Doctor Terrible's House of Horrible, a satirical British comedy-horror anthology series, but that came out in 2001. I was also considering Night Visions, but that came out in 2001 as well. That show was much like the Twilight Zone, which also depicted the dark side of human nature. What anthology show did not, right?
Edited by thestormtrooper
Thestormtrooper's suggestion of Dr Terrible's House of Horrible reminded me of Dr Terror's Vault of Horror https://en.wikipedia.org/wiki/Horror_Double_Bills#1993_Dr._Terrors_Vault_of_Horror, which were double bills of horror movies hosted by 'Dr. Terror', who had previously hosted a Halloween theme night in 1992, where he was known as Dr. Walpurgis. Both of these were shown on BBC 2. A compilation of the host segments is here: https://www.youtube.com/watch?v=yivmeaZvuIA
I saw that show as a child around 1992-1993 but it could be from the late 80s. It started in a creepy dark mansion. The host was sitting in a dark room close to a fireplace drinking red wine. It was an old man with long thin white hair (bald on top) a long nose and long yellow nails. I remember a plate of broccoli on a table nearby (?) and maybe a dog lying next to the man. There were two stories in the episode and it cut back to the host in between stories. I only saw one episode. As a child I found it really scary but in retrospect it was probably just campy. What I remember from the stories: 1) A man can never be mean or can never lie or something terrible will happen. He has a crush on a woman at work and he asks her out but things don't work out. I vaguely remember that it ended in a plot twist where the woman couldn't be mean or lie either. One of them ends up exploding. 2) Something about an evil cabbage patch kid doll (a very common trope, so not super useful). I've looked up horror anthology shows but none really match my memories, especially regarding the host.