After the newbie quest lines, there are some quests which you can find here:
http://www.vgtact.com/wiki/index.php?title=Main_Page
Many of those quests give new cards and they have varying presence requirements. You might not find all the quests listed there, so check the recent patch notes. There were some 12 presence quests added last week.
The devs have mentioned some other content to fill the gap from 40-150, but no details yet. Right now, it's just civic dip and quests. Writs should be going in soon which will start at skill 150.
Your best bet is to get a couple quests and work on presence with one or two stations by doing civic parleys with NPCs of those stations. As you win parleys your presence will increase and you will earn information for turn ins. The more turn ins you do, the more gear you will get and the more presence you will get from the gear for all stations.