What games can run on Intel(R) HD Graphics Family?

Otherwise, you can turn to older generation games.

In any case, they will be games that are not too demanding, so FPS or other big 3D games, aside from really old-school ones, will have to be ruled out.

Rather name a style of game that you like, and we will try to find you some games that might work, because right now... ;)

Hello,
And why not try retro games? It all depends on taste, but if you're the nostalgic type, this setup should be more than enough for you.
Moreover, some retro games have been remade in HD, in case the old graphics scare you...
Take a look at one of my favorites: https://www.youtube.com/watch?v=A9p3l1ChVBg
If that's not enough for you, you can try Assassin's Creed (the first one), which runs quite well on my HD 4000 (and you have the HD 4400).
Gamecube emulation is also doing quite well.
Do you have any specific tastes or genres?

Hello, my PC and yours have the same configurations and I play games like
- FIFA 14
- NBA 2K14
- DMC DEVIL MAY CRY (the latest version of this game)
- CALL OF DUTY MODERN WARFARE 4
- NEED FOR SPEED: MOST WANTED (2005)