If it sounds like an obvious but not very helpful advice, let us break it down. Discuss things you want to do but haven’t done yet with your date. There are definitely things you both have in common. Then go on and just do it together! Most often people are just looking for the signs to do the things they truly want, so make your date such sign.
If the desire is something scary, like bungee jumping, it will be a good opportunity not only to fulfill the wish, but to have a companion by your side who will support and understand the issues. But also it is just another way to learn more about each other which is very important for new couples. Pre-discussion of the plan and the behaviour at the actual event can tell a lot about a person.