Here is a list of minigames based in the Star Cizen universe. 3 of 4 of these minigames have been released on the RSI website.
Star Citizen minigames released by Roberts Space Industries:
Star Citizen minigame released by Test Squadron
Into the Unknown: A Carrack & Her Crew
Released on February 26th 2015
In this minigame you take the helm of a Carrack on an exploration mission. A text based minigame aimed at giving you a glimpse of how your decisions in Star Citizen can have epic or severe consequences.
Orion Vault : A Loan in the 'Verse
Released: November 28th 2014
We're not quite sure how to describe this challenging mining text based minigame. You start off on an Orion mining mission that is 600,000 UEC in debt and need to pay off your loan. Let's hope none of us accrue a 600K UEC debt in the real Star Citizen game!
Hyper Vanguard Force IV
Released: May 9th 2015
This minigame like Space Invaders is both fun and challenging! Play through 3 missions and upgrade your ship and weapons as you go!