Here's a review of the card:http://www.guru3d.com/articles-pages/asus-radeon-r7-370-strix-review,1.html
It really is meant to be a budget card primarily for mobas(LoL, dota 2) or even less demanding games such as Cs:go. None the less if you're willing to tone down some of the settings you can get decent fps in more demanding games.
For the type of games you're after though I'd personally go for either a 380x or a 960 as a minimum