I'm not sure about personality, but I always felt like my old Beta fish, Bob, was glaring at me. I would look in the tank just to check up on him see how he was doing, and he would stop what he was doing so fast and turn towards me it was freaky. He would move super close to the glass after that and just stare until I left. It was a little funny, but also a tad strange.
I am not sure my fish was much of a people person either, because if anyone else was around he would literally disappear. I don't know if he was hiding in the gravel, or excellent at camouflage, but he managed to make me look very silly when I would go to show my friends my Beta fish and all they saw was an empty tank.
Despite all that he was by far my favorite fish yet.