Hello Galacticfox,
I've done a bit of hunting around and I've picked a couple out that I think you will like:
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#1 + CYBERPOWERPC Tracer II T15300 ($814.99) -
It's slightly above your budget and packs the most performance compared to the rest, but does appear pretty bulky - so this would be a decision only you can make.
It packs a very fast i7-7700HQ (Quad-core), GTX 1050TI, 8GB's DDR4 RAM and a 256 SDD - You should have no problem gaming with this impressive system
https/www.amazon.com/CYBERPOWERPC-T15300-Notebook-i7-7700HQ-GeForce/dp/B074F246MM/ref=sr_1_17?s=pc&ie=UTF8&qid=1509143749&sr=1-17&keywords=laptop&refinements=p_36%3A72000-83000%2Cp_n_intended_use_browse-bin%3A9647497011&th=1
https/www.notebookcheck.net/NVIDIA-GeForce-GTX-1050-Ti-Notebook.168400.0.html - Check out the FPS in specific games
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#2 +Acer Nitro 5 ($749.99)
It packs packs a high-end i5-7300HQ (Quad-core), GTX 1050TI, 8GB's and a 256 SSD - Still a good system paired with the high-end GTX 1050ti, but the price reflects the reduction in CPU model. Overall, you will be able to game comfortably.
https/www.amazon.com/Acer-Nitro-i5-7300HQ-GeForce-AN515-51-55WL/dp/B074Q54GSR/ref=sr_1_9?s=pc&ie=UTF8&qid=1509143749&sr=1-9&keywords=laptop&refinements=p_36%3A72000-83000%2Cp_n_intended_use_browse-bin%3A9647497011
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#3 +Dell Inspiron 15.6 ($797.97 )
Same exact specifications as the 'Acer' model above, the benefit being, it appears to be slightly less bulky then the 'Acer' & 'CyberPower' - Differences in design obviously, so that would be something that only you can decide upon.
https/www.amazon.com/Dell-Inspiron-i5-7300HQ-GeForce-i5577-5335BLK-PUS/dp/B06XFGDD8P/ref=sr_1_39?s=pc&ie=UTF8&qid=1509143681&sr=1-39&keywords=laptop&refinements=p_36%3A72000-83000
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4# +Lenovo Legion Y520 ($799.00)
And again same specifications as the two above - seems slightly more compact and minimalist than the Dell.
https/www.amazon.com/Lenovo-Legion-Y520-i5-7300HQ-80WK00FHUS/dp/B06WVMJ713/ref=sr_1_12?s=pc&ie=UTF8&qid=1509143540&sr=1-12&keywords=laptop&refinements=p_36%3A72000-83000&th=1
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I feel there's a lot of variety in this list, with little differences in specifications. Have a good look, but only you will be able to decide, I've just provided the models that will suit your needs.
Hope that helps,
SM