To analyze a game or interactive media project you like, it is important to look and pay very close attention to the details. There is no limit to the amount of detail you can glean from something if you observe it closely and ask good questions.
For the purposes of games and interactive media. Some things you might consider doing are the following.
Note that this is primarily focused on sound, appearance and mechanics as opposed to high level game design.
Once you’ve gotten the answer to these questions, you will have a framework of understanding which can be used to make relevant choices in terms of colours, HUD placement, character position and movement in your own project.
Note that this list of questions is a guideline and may or may not make sense for the type of project you want to build. Try to consider some relevant questions to ask to match the particulars of the game or interactive media project you are studying with regards to what you want to make.
“There are no secrets, no formulas. It’s just a matter of looking carefully.”