Unless you already have a background in aviation, try to learn more about aviation in general. During your training you'll have to learn (and recognize) the most common aircraft types and their performance, and this will likely be easier for you if you can relate "A343" to a widebody four engine jet airliner and not just a letter and numbers. During my training I found that the people who had little interest in aviation and aircraft were struggling more with understanding why the A343 to RJAA didn't want to climb to FL370 while a B736 would happily take FL410.
As for games, there is
VATSIM which is a hard-core simulation, where you can practise controlling flight sim pilots. The risk with it is that you could learn bad habits that may be difficult to unlearn later. You could join as a pilot though and get a feel for phraseology, routes, flight plans and other terminology.