Minimum GPU required for 1080p (mostly Gamecube games)?

[sirius3100]

Thanks for your answers.

I've decided to go with a GTX 750 (not Ti) with 1 GB VRAM. I hope that's enough RAM for Dolphin.
Here is the complete system: http://skinflint.co.uk/eu/?cat=WL-458672
I may change minor parts like SSD or RAM depending on what's cheapest the day I'm actually ordering the stuff.

edit: changed some minor stuff and ordered the following https://www.mindfactory.de/shopping_cart.php/basket_action/load_basket_extern/id/c797aa220b7df9a966e5c708df12651b4319d41c46ad60638e3