Essentially, anything that has a Nvidia Geforce GTX 1070 or GTX 1080 will work for you. However due to your budget, finding a 1070-based model is more likely. The other caveats that you have to look out for are the 16GB of RAM that you specified, the SSD and that the CPU (most likely an Intel model) has HQ or HK at the end of the name and not U, because the latter would indicate a dual-core CPU limited to 28W or 15W power-consumption as opposed to a quad-core at 45W. Any laptop that satisfies these above constraints should work.
Beyond that, note that you probably want to clean the fans every now and then (1x a month if you can) to make sure the air can flow and cool the system properly, so that you don't get reduced performance or sudden heat-caused shutdowns.
Because I have to, I'll make a generic recommendation fitting your budget:
The Asus ROG GL502VS-FY042T:
- It features an Nvidia GTX 1070 GPU (-> 8GB of VRAM) meaning it's about the best you can get from a 1500€ laptop
- It features a standard quad-core 45W Skylake laptop CPU: the i7-6700HQ
- It features 16GB of RAM
- It features a 512GB SSD paired with a 1TB HDD
- It's priced at 1499€ (at least in Germany, should be similar in other european countries)