Hello and welcome to Eve.
Yeah, it’s a shame we can’t really show off our characters and interact with others. The only way to view a characters full body in the game is to r-click on a character, select ‘show info’ and left click on their character picture. That will open up a larger ‘Portrait’ of them with a button at the bottom to select ‘Full Body’ view. In that mode you can zoom in and out and hold left-click and move which turns the character all around allowing you to view their entire body.
As for the 'Walking In Stations / Captains Quarters, it was a cool little niche aspect with a lot of potential but didn’t incorporate any game play options, as such it was eventually removed due to ‘Technical’ reasons. Hopefully CCP will bring back a better working version of it with some semblance of game play content.
Anyway, the Captains Quarters was great for creating wallpapers and screen savers. Here’s a thread with a lot of different in-game screen shots of the Captains Quarters.