My tastes are kind of tweeny more than babyish. I could see myself rewatching old cartoons, but there are so many cool shows out right now that I watch them instead.
Some old shows have really stood the test of time, and I wouldn't mind watching them again. Rugrats, Arthur, The Magic School Bus, Gargoyles, Hey Arnold - all good shows. I would also like to revisit Recess which I was "too old" for when it came out. Golden Age Disney was way before my time, but is also something I grew up with, and as a life long animation fan have only grown to appreciate more.