Try installing the driver manually, please see How to Manually Install a Graphics Driver in Windows 7*.
Download the Intel® HD Graphics Driver for Windows* 7/8-64-bit
If there is any graphics driver already installed, uninstall that driver and then reinstall it manually, following the steps from the link above.
Please see Uninstalling the Intel® Graphics Driver and Intel® Display HDMI/Audio Driver
Also, make sure you have Windows® up to date.
If the problem persists, please bear in mind that this driver has been released for a long time and we have tested this driver plenty of times and we don’t experience this issue, I would recommend to report the issue to your system manufacturer for further assistance as they are more familiar with your system and how the components interact with each other.
It turns out i've kind of figured out where the problem came from
The laptop was sold with a single 4GB RAM, and the owner updated it to 2x4GB
Before my first post, I've memtest'ed the 8GB, no problems were shown.
Then I've tried booting W7 + Intel driver with the original 4GB, it worked.
Then switched with only the other 4GB, BSOD
The second 4GB added is exactly the same brand/model/specs as the originaly installed
To be sure, i've started a memtest with that crashy RAM. After 16h and 18 passes, no problems were shown. (memtest+ 4.20)
Weirdest thing is as far as i dont install Intel HD Graphics driver, i can install whatever driver / software I want with no crash/BSOD
So okay... i guess...
Anyway thank you for your time
Thank you for the information you have shared with us, I would say, that can be a limited configuration from your system manufacturer, have you tried to contact them to check with them what could it be.
Maybe you need a BIOS update.
Please be aware that if you plan to install two SO-DIMM memory modules in your unit, I would recommend you to purchase them as a matched pair.
When memory modules are purchased separately, the DRAM chips and SPD timing on the memory can be different, even if the model and part numbers are the same. These differences can cause issues in your system. That will be better to consult it with your laptop manufacturer.