Options for Relational Custom Content Type and User Interface

I’m a long-time Drupal user hoping to convert a site to WordPress. Biggest sticking point is a custom content tool and I’m trying to determine if this is something that can be created in WordPress without any coding (i.e. exclusively through plug-ins).

This is a web site for a board gaming event. The feature is a list of many board games (i.e. board game content type) where users can mark a) Which games they are bringing and b) Which games they want to play. Ideally, they can do this while looking at a table of this data by simply clicking buttons. They can then also click a game to see exactly which users are bringing and wanting to play each game. (the first table just displays how many are bringing and wanting to play.)

I’ve seen several plug-ins for creating custom content types (i.e. Pods), but they don’t seem to provide a front-end. I see the Visual Composer might provide that, but am unclear whether it can provide this level of functionality. In Drupal this is accomplished by creating the content types, creating “Flags” for “want to play” and “bringing”, and then the Views module creating the front end for users to interact with the data and flags.

Is this something that can accomplished in WordPress purely through plug-ins? If so, are Pods and Visual Composer the way to go or is there a better solution?

Thank you!