So I just bought MineCraft running an older HP Pavilion with Intel ChipSet Express 4 Family (32 bit) Running Windows 8.1... Took me 2 hours to figure it out lol BUT its very simple... All I did was go to device manager - display drivers and uninstall the chipset driver (which pulls the resolution into basic mode)... Next go to your manufacturers website (in my case it was HP)... Run the discover driver utility... Next download the driver (this will not be an updated driver and also these updates are coming from microsoft because intel doesn't support this chipset anymore.., so make sure to turn off auto windows updates also... So this driver will be a version (8.15.10.****) in my case it was chipset 4 driver 184.108.40.2063 (for 32 bit)... Then confirm install and restart... Now MineCraft is able to run on Windows 8 and 10!!! It is funny because this driver is supported by Windows 7 and newer updates of this ChipSet will not support opengl which I find odd that the older driver works yet the newer one's don't but that's microsoft for ya.., lol...
Hope this helps!