We grew and regularly picked almost everything on your list and more. I still buy fruits and vegetables from my old friends. The store bought stuff just doesn't compare in my opinion.
With my mom, my sons and friends, I loved to go apple, blueberry and strawberry picking. I had my own raspberry patch, so enjoyed fresh raspberries, too!
Now when my Houston family comes to visit every summer, they carry on berry picking tradition, and this year picked blackberries!
Over the years I have gone to various farms and the fruits I recall picking are strawberries, blueberries, apples and peaches. Blueberries wins as the most frequent crop, some years going several times during the season.
Then there were some backyard fruit crops like cherries, raspberries, blackberries and figs.
I've never been fruit picking, and other than wild blackberry bushes growing locally I'm not sure where there is to do this. There's probably lots of places, it's just not something I've ever really given much thought to!
I have not, other than picking fruits we grew ourselves. We have grown raspberries, strawberries, peaches, plums, cherries, oranges, grapefruit, lemons, pineapples, grapes . . . (feels like I am forgetting something ). My mom and aunt went to a blueberry picking farm one year. We froze the fruit and they were delicious in a bowl of cereal or over ice cream.