I would want a volleyball net for the purple ball and some other fun activities like that. Maybe a forklift?
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A kiosk in the hangar lounge area for forming teams. You'd put your name and character info, specify if you're looking for help or offering your services and specify if it's for the weekly, the nightfall or raids. This would allow you to begin communication with somebody you know has a similar interest rather than just throwing invites in the tower. Once you have what you need you can remotely remove your data from the board from your menu screen.