I have been slowly making my way through this thread over the past few weeks, I've read bits of it previously over the years, some real gems here. I'll add a few "strange folk" of my own:
When I lived in Exeter, there were a couple of notables:
The Backwards Walking Woman: does what it says on the tin, a middle aged lady, occasionally seen walking backwards looking over her shoulder, apparently, though I never saw this, when she came to a road, she'd cross it walking "normally" then return to backwards walking again on the other side. A short while after I'd left a friend still living there had seen her walking forwards and not on the road, so perhaps she was "cured" as it were.
Medieval Guy: again a descriptive appellation, middle aged man dressed as though he's in the middle ages, long tunic/robe, leggings and cloak. He had a belt with an empty scabbard hanging flaccidly by his side. The story was that he used to carry a sword but the police had understandably confiscated it, the other story was that he was one of those historical reenacters and had had a nervous breakdown and decided to remain in character as it were. I even saw him in the pub with a friend once, who was normally dressed, sadly medieval guy did not quaff from a tankard and just used a normal beer glass.
Vaguely related to medieval guy, one morning walking through the city I saw a policeman in what looked like turn of the 20thC garb, including one of those "cape coats", he even had a suitable moustache, there was a bike nearby clearly his that looked if not Victorian, certainly very old-fashioned. He was talking to a woman who was stood in the doorway of her house, I remember as looking "old fashioned" possibly mid-20thC: long dark dress, long dark hair and a white or light apron. They were talking and went quiet and stared at me as I passed; I kept thinking "Shit! This is a timeslip and my Fortean moment!", this was a suburban street and there was no one else about. I mentioned it to a friend and he said apparently that guy was a regular police officer who dressed in a period costume to visit schools. No idea if that's true but sounds reasonable - this was day-time in the week.