I was looking at Monopoly just the other day, but wonder if at 6 she will enjoy it? I think I did at that age though. I loved Risk!

My daughter is keen to learn chess, but I am horrible at it.....so learning from me may not be ideal.

I think you are selling yourself short here, because you don't have to be great at it in order to make a profound positive effect on their future - just enough to help them get over the early hills and find the love. From that base, the passion to continue is up to them.