Cap would win the first encounter because of strength. Batman would go back to the Bat Cave and come up with someway to cheat his way to win the next time.
My wife only allows me to have one cabinet that I can fill up. I get one of each of my favorite characters. If one comes along that I like better, I will sell the old one and bring in the new.
Unfortunately there are not a lot of great mass produced statues. My favorite one is of the first ones made and that was the Randy Bowen designed one. Sorry, I don't have a picture.