My favorite cage would be the one I have now, which is a recontructed and re-painted double ferret nation with hardware cloth around it because of the bar spacing. It's super easy to clean, and there are endless layout options when it comes to putting toys, hammocks, and hideouts in it. I change mine around everytime I clean the cage to keep my ratties entertained.
My rat's favorite toy would probably have to be paper towel or toilet paper rolls and tissue boxes. They love tearing into them and sleeping in the tissue box. It's an absolute favorite and never gets old, even with my oldest rats. =P