Adopt a newbie for the Christmas season. Let them pick your brain for a few hours. Take them out on a roam. Defend them while they mine in lowsec. Take them to see Eve Gate. Haul some stuff for them. Shower them with ISK. Show them wormhole space. Buy them some ships. 1v1 and help them become better at PvP. Invite them into your corp channel for some socializing.
Whatever you think will help keep them playing, to appreciate the game more.