Scouic, I am sorry to hear that you are having this kind of problems on your system, but it looks like this behavior is caused by compatibility between the graphics and the games.
These games you are playing are older than your HD graphics; so this is an expected behavior.
I recommend you contacting the game developer in order to request a patch.
This is definitely NOT a game issue, but a driver issue: as a matter of fact, old drivers from Intel until 18.104.22.168.2932 WHQL (late 2012), worked with no graphical glitches. So, these are DX7 regressions in the drivers you have shipped for 1,5 year now. This can only be fixed within Intel driver.
If you would like to continue playing those games with no graphical glitches, it will be necessary to use the old drivers.
Since the performance of the game is not the same as using newer drives, it will be necessary to request a game patch to the game developer.
This patch will interact with the new driver and perhaps the game work with the latest graphic drivers.