My mum attracts all kinds of life stories, confessions, mutterings and waifs and strays- and I've inherited the gene.
When I was younger, I used to get drunks and weird men talking to me all the time. Now, I get old ladys demanding I choose a new chopping board for them based on their detailed requirments and then carry it to the til for them and many a random shop queue conversation. Once at work I had a ten minute perfectly normal relevant converation with a man, which turned weird the moment he reached down his shirt to retrieve an actual flying squirrel, looked me in the eye and said 'wotcha think of that then'. 
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Of all people I (or my mum) have random conversations with, most are unremarkable, some are with people with mental health problems, some with disabilities. Some are old, frail, young, distressed, pissed, scared, lack boundaries, injured, eccentric, lost, in varying combinations. And, without sounding smug, I am nice and never decide I cba or am too good to talk to anyone. Maybe that's why me and my mum have some stories about 'weirdos' to tell, because we are nice enough to hear them. Please, the killjoys on this thread, allow us a little chuckle about our strange encounters, because too many people just walk away or openly and rudely ignore the 'weirdos' in the first place.