There's maybe half a dozen out now that will need a bit more muscle but most will be fine. Where are you buying from?
The 7870 is better value (and comes with the Never Settle: Reloaded bundle, dont forget that) but the 760 is the stronger performer. Whether the increased cost is worth the increase in performance is up to you.
I used to run a 7870 before upgrading to my current 7970, you can get get high-ish settings at 1080p in intensive games while still getting a stable 45FPS while playing. Obviously you will need to lower the performance killing settings like AA and Post-Processing. 7870's overclock pretty well too, you can get a fair bit of extra performance from them.
Isn't the bundle sold out now or have they restocked it?
I live in Slovakia and in the shop with games I would pay 30 € more, so no games .