I am not sure if you categorise as pyschic experience, but it is surely a curious coincidence.
Me and my friend used to go to our professor every saturday to have a chat. This was generally related to books. The prof was
A voracious reader and used to recommend the books from different fields. It happened more than few times that when
We used to discuss about a book (generally rare to get) I used to spot it on a footpath the next day (I used to frequent the second-hand book
Shops on footpath).
This is not limited to books. There are other incidences where some reference is made to something and I come across that thing in some form the very next day.
Example, I was chatting with my friend. He said his school-mate has become a doctor and he told his hospital name. Next day when I was in a medical shop to buy some medicines, a guy standing next to me was talking on phone. He mentioned same hospital name and that friend's name. The hospital is not very big and famous still this is a coincidence.
One day I was browsing a book and came across fact entioned by the author about India mystics. After some days when I was reading a short-story book, the author had made reference to the same fact about India mystic - again coincidence.
Also one more curious thing when total strangers meet me they think they know me. I loom someone whom they know.
Once I had gone to attend a marriage from Muslim community (different religion) in a town (some 500 miles from my town).
There one man tapped on my shoulder and asked if I was Aslam (or some such muslim name). I said, no. He said I look like
Aslam - man he knows.