You can do something like juggling or diabolo or poi. They’re all really easy to learn, you can practice and make up routines together, you can listen to some fun music while you do it, and then you have something to do for wedding shtik after your bonding time.
Something we also do is make scavenger hunts for each other, based on things we can find in the house. give it a theme, or base it on the time of the year, but be as creative as possible and try to surprise each other.
Look through old photos. We love looking at pictures of us, and the kids, and our life from before we were married. Each picture can bring on a new line of discussion and you will learn a lot about each other.
B”H when you’re in full time learning, you need to use some of your bein hasedrim doing some light-hearted and not learning related. It’s healthy and it will allow you maintain learning for a much longer time than people who just plow through bein hazmanim and bein hasederim because they’re too frum to relax.