Personally I like playing with my own balls better. I tried playing with someone else's balls, and while I could tell he liked that I enjoyed his balls, it was still not the same as playing with my own balls. I played with a girl's balls once, but it just felt weird and unnatural.
I had a Wilson Jet for about 12 years, by far the best ball I ever played with. It was always the ball of choice in pickup games, but it was exclusively an in-door ball. For playing outside I like the Spalding Neverflat. Has good grip, bounces well, always consistent. It is decent for indoor or outdoor but shines on outdoor courts imo. I like the Spalding official leather game ball for indoor play. I have played with many of them listed here and I seem to do best with the spaldings since I can't get a wilson jet anymore like the one I had in the 80's to 90's. The newer jets are different and don't seem to work as well for me.