Or, if you like, portmanteau horror. Horror films with lots of stories in them, that's the point. It's a genre that was invented in Britain and perhaps the best examples were produced here. But there are some cracking examples from overseas. So, here goes...
DEAD OF NIGHT - Made immediately after World War II by Ealing Studios (far better known for comedy) as a bit of pure entertainment. Horror was explicitly banned during the war in Britain, so DOF represented a return to normality for the film industry. It was also an opportunity to showcase acting and directorial talent. The stories are variable in terms of chills, but all have their virtues. The adaptation of E.F. Benson's 'The Bus Conductor' is pretty good, the comedy interlude based on Wells' 'The Inexperienced Ghost' is pleasant. Those two old faithfuls, the country house ghost and the haunted mirror, are both handled well. But of course the most memorable sequence concerns Micheal Redgrave's ventriloquist that stands out, especially as it leads to a rather good pseudo-twist ending.
KWAIDAN/KAIDAN - Very different from Dead of Night in almost every way, but undeniably an anthology horror movie based on tales by Lafacadio Hearn. The title means 'ghost story' and all four tales are supernatural. 'Black Hair' is an effective start, a tale of the samurai who abandons his faithful wife, then returns to her years later only to find her apparently unchanged. 'The Woman of the Snows' is my personal favourite, a cruel tale of a simple man who encounters a kind of vampire. 'Hoichi the Earless' is steeped in folklore and bloody Japanese history. The tricky vignette 'In a Cup of Tea' offers a playful conclusion.
TALES FROM THE CRYPT - No list of anthology horror films would be complete without an Amicus production. While ASYLUM, VAULT OF HORROR, and FROM BEYOND THE GRAVE are very enjoyable, this one is arguably the best of the bunch. Yes, it's the one with Joan Collins. Also Roy Dotrice, Ian Hendry, Peter Cushing, and no lesser thesp than Ralph Richardson as the Crypt Keeper. It's wondrous hokum, with five strangers getting lost on a tour of Somewhere Spooky and being told that their futures are to be reviewed. Guess what? None of them are going to live to a ripe old age, and one of them is going to be done in by Santa.