I've only had this occur while playing DiRT Rally, but my computer will randomly crash, display a dark red screen, and the speakers make a terrible sound. I don't have this problem with any other game so far, but it might just be a coincidence that it was the same game. The first time I had been playing for about 45 minutes before it crashed and the second time it crashed I had just launched the game.
Specs:
CPU: Intel Core i5-4590 3.3GHz
GPU: XFX Radeon R9 290 4GB Double Dissipation
Motherboard: MSI Z87M GAMING Micro ATX LGA1150
PSU: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX
Specs:
CPU: Intel Core i5-4590 3.3GHz
GPU: XFX Radeon R9 290 4GB Double Dissipation
Motherboard: MSI Z87M GAMING Micro ATX LGA1150
PSU: EVGA SuperNOVA NEX 650W 80+ Gold Certified Fully-Modular ATX