Thanks to Kindertrauma, I've managed to name nearly all my childhood T.V./film traumas. I only had two more to solve, but I just found out that one was the ultra-tasteless THE AURORA ENCOUNTER (yeah, great use of a prematurely aging child as an 'alien'), which leaves just one I need to name – it was a movie I saw late night at a family get-together in which a man was left wheelchair-bound after a car accident and had some kind of computer or robot looking after him. I think the computer played up, causing him some considerable troubles. I also remember a severed head of a woman in what I think was a washing machine. It screened in the U.K. circa 1990, but seemed to be from the '80s. I recall it being a DEMON SEED style affair. All help would be very welcome. Cheers!
Good to see the old MOOMINS show mentioned with regards to The Groke, but as a youngster, I think The Hobgoblin was even scarier. Around 40 seconds into this episode, as he flies through space, the sights and sounds gave me nightmares for weeks…
My first thought was that this might be the "Valerie 23" episode of Showtime's Outer Limits, but I'm not sure about the severed head part – it's been years…
http://www.allmovie.com/work/the-outer-limits-valerie-23-269779
There's some info on IMDB about the Aurora Encounter that might make you feel better about the film. Apparently Mickey Hays, the child with progeria that plays the alien, was cast in the film because of the Make A Wish Foundation.
http://www.imdb.com/title/tt0090675/
I know it's not a computer or robot, but that reminded me of "Monkey Shines"