OK, I've got an annoying one here.
I have a fresh install of Windows 10 Home on a factory built PC (Chillblast) that was running OK under Windows 7, but is now Blue Screening on Windows 10.
When I boot the PC from cold about 1/3 of the time it will blue screen. The messages vary. Sometimes it will say IRQL Not less or Equal, or Page fault in non-paged area, or Memory Management.
The messages always happen pretty much at the exact second that you would normally get the logon box up. It never Blue screens when I'm actually using the computer, even if I'm hitting it hard with games. It also never blue screens on a reboot. Only when it's booting from power complete power down.
I suspect that it's software rather than hardware, maybe a driver?
The only message in the logs is that the computer as recovered from an unexpected shutdown. It rarely creates Dump rile.
I thought that it might be bad RAM. I have two 8GB chips. Both are the original chips that the computer was sold with. If I try with one chip in it runs perfectly. It doesn't matter which chip, or which slot the chip is in. It runs perfectly with all combinations. If I put them both in 1/3 of the time BSOD.
I've run Memtest86+ and it didn't find any problems. I've also run the System File Checker and it didn't find anything.
As this is a fresh install I don't have much loaded. It started blue screening with only the basic software needed to run my hardware, and an Anti-Virus (Avira) loaded.
Windows 10 is installed on a totally new disc, straight out of the box (Sandisk SSD).
Other than the hard disk and a soundcard, the PC is pretty much a factory build, with a factory configured motherboard. It's not overclocked, and I haven't tinkered with it.
Before I installed Windows 10, I occasionally had a Stop 0X000008a error, but I don't know if that's relevant or not as it was a different OS on a different hard disk.
[EDIT] - I've managed to get a couple of Dump files, but it doesn't always generate one.