Can I mention other games’ titles, characters, maps, weapons etc. in my game?

Let’s say I was about to make a quiz game where the questions are like this:

  • When was Fallout 4 released?
  • What is your first pickaxe in Minecraft?
  • Who do you have to kill as the last boss in Skyrim?

And let’s pretend I have 1000 of these questions, from 1000 games. What are the chances some of those 1000 could sue me, remove my game from the internet, pay them a fee etc.? Even if it becomes very popular.

Taking it one step further, could I buy their games, take in game screenshots personally, then use those as pictures in my own game?

Does it make a difference if it’s a free-to-play or a game that has to be bought?