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960 or an 950 would be your best bet. Forget AMD their CPU driver overhead means an i3 will bottleneck AMD cards.
That will be the 950, of course you will need to dial down some settings but it will play all the latest games at 1080p.
Gameplay experience is worse on AMD even with the faster GPU.
You don't notice low fps when gaming, I envy you.
I would wait for one of the £120 R9 380 2GB cards that pop up on and off on retailers websites.