Acer Aspire E15 E5-575-33BM for $350. It has a 7th generation Core i3-7100u (2.4GHz) with the Intel HD 620 integrated graphics core (about equal to a nVidia 920m). It also has a 1080p, but you may need to play at lower resolution to improve performance. However, I recommend you purchase and install a second stick of 4GB RAM to get the best performance. With in 1 stick of RAM, the RAM only runs at half speed. Two stick will probably increase performance by around 15% - 20%.
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/www.amazon.com/Acer-Aspire-i3-7100U-Windows-E5-575-33BM/dp/B01K1IO3QW/ref=sr_1_1?ie=UTF8&qid=1477924056&sr=8-1&keywords=i3-7100u...