If it's worth anything, I'm sending my Sapphire 7870 off today for RMA. There's a large issue with them causing screen locks/black screens/system locks when they get too warm (which, shouldn't happen, because "too warm" in this regard is like 50C).
I love Sapphire, have had a lot of their cards, but the 7870 series (and from other MFGs too) has been experiencing issues because of poorly made parts.
That might be true for Sapphire but my Asus 7870 is not having any issue so far. I run my card up to 70 C and even overclocked, it would probably even handle 100 C without black screen. "Too warm" usualy means 100C, nothing less. If it cant handle such temps its usualy a design flaw. Generaly, AMD was not very nice with the reference design of the 7870 because its underpowered and in term the vendor didnt intercept, it may cause problems. A OC 7870 may need same amount of juice such as a 6950.
It seems MOST 7870's from MSI, Powercolor, and Sapphire are having the issue as far as I can tell. You can always go 7950, which is on sale right now for what I got my 7870 for, and it comes with 3 games.
MSI's most known 7870 is a special PCB design named "Hawk" and i can tell you that this card is not having such issues apart from the usual
failure rate any card got. You could even OC the Hawk to 1300 Mhz and heat it up to 80 C, it may probably stay stable.
Besides: Not every crash or freeze is necessarely a GPU issue, other hardware parts can have equal behaviour. So, i recommend to send the card to a vendor, so they can test it on theyr machine to ensure that it truly is the card.
However,
failure rate is pretty big nowadays. I would say 20% is realistic. My first GPU was causing artifacts, so i did RMA and my second 7870 was working properly. The quality nowadays surely is inferior and at critical condition. Its simply a cheap mass production with a sadly astounding failure rate. Although, thats what warranty is here for. Instead of crunching some fingers, just take it easy and ask for replacement. Thats how it works, quality simply is not granted. Sure, the Hawk got powerful electronic parts, but that doesnt mean that the failure rate is lesser and generally, as more parts as higher the risk of failure (more parts, higher risk). I use the Hawk because in term there is no failure, the expected endurance (lifetime) is higher. Failure rate and endurance are 2 different things, most cards which got a failure will be busted inside warranty time. In term it will exceed warranty time its one of those "shiny eggs" with higher than usual endurance. The Hawk is 3 year warranty, so nothing to worry (my Asus got 2 years only).