There is a cottage industry in building relationships by answering intimate questions together.
Most famous: that 36-questions-to-fall-in-love thing
ClearerThinking.org’s Life-Changing Questions was originally pitched for one person insight, but has a multiplayer mode, so I think it’s worth mentioning
Clearerthinking.org also offers a Relationship Review
Askhole, the edgy one.
I do actually like this one, but I recommend skipping all the cards that are about definitions of rape. It feels like it might be bold, but in practice just ends up outing abuse survivors. The creators are aware of this, and have colourised the cards to make it easier to skip them.