...it's hard to imagine the day when you feel you've grown too old for these kind of games. But it's bound to happen at one stage, isn't it?
Well, let's see here.
I'm 48, my sisters are 53 & 56, my brother is 58, and both my Father and Stepmother are 79.
We all play.

If people would stop thinking of video games as toys, perhaps more would see them as just another source of entertainment. You're never too old to watch a movie, read a book or listen to new music. A video game is nothing more than another source of entertainment. You, as the player, are an actor in a script. You even get to occasionally ad-lib your scenes! You are director, star, and sometime script editor.
You're never too old because video games are not toys. They are simply another form of electronic entertainment.
My parents, siblings and I have been thoroughly enjoying this latest source of TES entertainment.
Edit: I hope that alleviates any undo stress in your young gaming soul.