I've only ever gone back to the same park the next day once, and that was Gyeounju World. The first day was pissing it down and Phaethon wasn't running, so I went back again the next day. Ordinarily, I wouldn't have cared too much, but I really wanted to ride it and knew there was very little chance of me being in that area again.
Otherwise though, I've never been in a park and thought that I either wanted or needed to go back to the same place the following day.
Edit - Thinking about it, I did a similar thing with Tobu Zoo and Yomiuriland before as well. About a year before I lived in Tokyo, I'd gone there for a holiday. At Yomiuriland, Bandit and White Canyon were closed all day because of the weather, and on the next day, at Tobu Zoo, Kawasemi and Regina were both down for maintenance. I ended up taking another day at the end of the trip and going back to both places, one in the morning and one in the afternoon. If I'd known then that I was going to end up living in Tokyo a year later, then I wouldn't have done it, but at that point I had no idea if, or when, I'd be going back, and Kawasemi and Bandit were on my "must ride" list.