Ascent - The Space Game
Ascent - The Space Game is a PVE-focused MMO that runs on a PC or in a browser, and allows you not only to gain money and ships via missions and mining and the like, but to also found whole colonies and much more.
It's a huge universe. Take your ship and make your mark, either as a trader, miner or colony administrator. There's little to stop you in Ascent.