though it doesn't mean all your requirements, it does have gtx 1060 6GB which is an awesome GPU (the component that matters the most in case of the gaming laptops)
https://www.amazon.co.uk/Acer-Predator-Helios-GeForce-Keyboard/dp/B06Y4GZS9C/ref=sr_1_1?ie=UTF8&qid=1507108673&sr=8-1&
7th Generation Intel Core i7-7700HQ Processor (Up to 3.8GHz), 16GB DDR4 Memory & 256GB SSD
https://www.amazon.co.uk/dp/B01N5SU5SH/sr=8-20/qid=1507110150/ref=olp_product_details?_encoding=UTF8&me=&qid=1507110150&sr=8-20
NVIDIA GeForce GTX 1060 with 6 GB of dedicated GDDR5 VRAM
15.6" Full HD (1920 x 1080) widescreen IPS display
£1,049.00
here's another options (it has 3gb version of 1060 instead of 6GB, though it does feature a 1TB HDD -- ACER helios mentioned above only has 256GB SSD, though you can add a hdd yourself later) in addition to the 128GB SSD
7th Generation "Kaby Lake" Intel® CoreTM i7-7700HQ Quad Core Processor, 2.8-3.8 GHz
GPU: nVIDIA GeForce GTX 1060 192bit w/ 3GB GDDR5 - Desktop Class Graphics
RAM: 16GB 2400MHz DDR4, Hard Drive: 128GB SSD + 1TB HDD
DISPLAY: 15.6" FHD (1920 x 1080) Antiglare
£1,044.02
gtx 1060 expected level of gaming perf.:
https://www.notebookcheck.net/Mobile-NVIDIA-GeForce-GTX-1060-Laptop-Benchmarks-and-Specs.169547.0.html
However, if must strictly stay within the budget,
https://www.amazon.co.uk/Dell-Inspiron-Gaming-i7-7700HQ-Graphics/dp/B01NAW8DX0/ref=sr_1_1?ie=UTF8&qid=1507111248&sr=8-1&
NVIDIA GeForce GTX 1050Ti 4GB - great for eSports and runs AAA games at 1080p on high settings.
7th Gen Intel Core i7 Processor and 16GB RAM makes multitasking easy and provides the power you need to play your games.
1TB HHD and 128GB SSD storage reduces load times when opening large files and games and leaves plent of space for photos and media.
Waves MaxxAudio Pro gives your games and media an extra dimension.
Full HD 1080p Anti-glare Screen
£998.99
or
https://www.amazon.co.uk/Predator-Acer-17-3-Inch-Notebook-i5-7300HQ/dp/B0742KVNCF/ref=sr_1_7?ie=UTF8&qid=1507111248&sr=8-7&
17.3-inch FHD IPS screen
Intel Core i5-7300HQ Processor,
16 GB RAM,
1 TB HDD Plus 128 GB SSD,
NVIDIA GeForce GTX 1050Ti 4 GB Graphics
£949.99
gtx 1050 ti benchmarks:
https://www.notebookcheck.net/NVIDIA-GeForce-GTX-1050-Ti-Notebook.168400.0.html
cheers